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Finding the Fourth Proportional to 3,412.76, 4,710.22 and 2,418.08

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Solution

The fourth proportional to 3,412.76, 4,710.22 and 2,418.08 is: 3,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.76 : 4,710.22 = 2,418.08 : x
  2. Step 2: Convert to fraction form
    3,412.76/4,710.22 = 2,418.08/x
  3. Step 3: Cross multiply
    3,412.76x = 4,710.22 × 2,418.08
  4. Step 4: Simplify right side
    3,412.76x = 11,389,659.18
  5. Step 5: Solve for x
    x = 11,389,659.18/3,412.76
  6. Step 6: Final answer
    x = 3,337.38

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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.