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Finding the Fourth Proportional to 3,717.57, 5,129.74 and 2,225.14

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Solution

The fourth proportional to 3,717.57, 5,129.74 and 2,225.14 is: 3,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.57 : 5,129.74 = 2,225.14 : x
  2. Step 2: Convert to fraction form
    3,717.57/5,129.74 = 2,225.14/x
  3. Step 3: Cross multiply
    3,717.57x = 5,129.74 × 2,225.14
  4. Step 4: Simplify right side
    3,717.57x = 11,414,389.66
  5. Step 5: Solve for x
    x = 11,414,389.66/3,717.57
  6. Step 6: Final answer
    x = 3,070.39

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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.