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Finding the Fourth Proportional to 3,730.01, 5,143.82 and 2,404.13

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Solution

The fourth proportional to 3,730.01, 5,143.82 and 2,404.13 is: 3,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.01 : 5,143.82 = 2,404.13 : x
  2. Step 2: Convert to fraction form
    3,730.01/5,143.82 = 2,404.13/x
  3. Step 3: Cross multiply
    3,730.01x = 5,143.82 × 2,404.13
  4. Step 4: Simplify right side
    3,730.01x = 12,366,374.24
  5. Step 5: Solve for x
    x = 12,366,374.24/3,730.01
  6. Step 6: Final answer
    x = 3,315.38

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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.