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Finding the Fourth Proportional to 3,976,228.80, 5,957,344.80 and 3,416,356.80

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Solution

The fourth proportional to 3,976,228.80, 5,957,344.80 and 3,416,356.80 is: 5,118,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976,228.80 : 5,957,344.80 = 3,416,356.80 : x
  2. Step 2: Convert to fraction form
    3,976,228.80/5,957,344.80 = 3,416,356.80/x
  3. Step 3: Cross multiply
    3,976,228.80x = 5,957,344.80 × 3,416,356.80
  4. Step 4: Simplify right side
    3,976,228.80x = 20,352,415,417,424.64
  5. Step 5: Solve for x
    x = 20,352,415,417,424.64/3,976,228.80
  6. Step 6: Final answer
    x = 5,118,522.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.