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Finding the Fourth Proportional to 3,685.71, 5,088.10 and 2,512.94

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Solution

The fourth proportional to 3,685.71, 5,088.10 and 2,512.94 is: 3,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.71 : 5,088.10 = 2,512.94 : x
  2. Step 2: Convert to fraction form
    3,685.71/5,088.10 = 2,512.94/x
  3. Step 3: Cross multiply
    3,685.71x = 5,088.10 × 2,512.94
  4. Step 4: Simplify right side
    3,685.71x = 12,786,064.57
  5. Step 5: Solve for x
    x = 12,786,064.57/3,685.71
  6. Step 6: Final answer
    x = 3,469.09

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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.