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Finding the Fourth Proportional to 3,706.57, 5,115.51 and 2,134.63

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Solution

The fourth proportional to 3,706.57, 5,115.51 and 2,134.63 is: 2,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.57 : 5,115.51 = 2,134.63 : x
  2. Step 2: Convert to fraction form
    3,706.57/5,115.51 = 2,134.63/x
  3. Step 3: Cross multiply
    3,706.57x = 5,115.51 × 2,134.63
  4. Step 4: Simplify right side
    3,706.57x = 10,919,721.11
  5. Step 5: Solve for x
    x = 10,919,721.11/3,706.57
  6. Step 6: Final answer
    x = 2,946.04

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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.