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Finding the Fourth Proportional to 3,725, 5,140.52 and 2,153.10

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Solution

The fourth proportional to 3,725, 5,140.52 and 2,153.10 is: 2,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725 : 5,140.52 = 2,153.10 : x
  2. Step 2: Convert to fraction form
    3,725/5,140.52 = 2,153.10/x
  3. Step 3: Cross multiply
    3,725x = 5,140.52 × 2,153.10
  4. Step 4: Simplify right side
    3,725x = 11,068,053.61
  5. Step 5: Solve for x
    x = 11,068,053.61/3,725
  6. Step 6: Final answer
    x = 2,971.29

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