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Finding the Fourth Proportional to 3,356.62, 4,632.16 and 1,864.50

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Solution

The fourth proportional to 3,356.62, 4,632.16 and 1,864.50 is: 2,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.62 : 4,632.16 = 1,864.50 : x
  2. Step 2: Convert to fraction form
    3,356.62/4,632.16 = 1,864.50/x
  3. Step 3: Cross multiply
    3,356.62x = 4,632.16 × 1,864.50
  4. Step 4: Simplify right side
    3,356.62x = 8,636,662.32
  5. Step 5: Solve for x
    x = 8,636,662.32/3,356.62
  6. Step 6: Final answer
    x = 2,573.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.