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Finding the Fourth Proportional to 3,706.46, 5,115.40 and 2,113.68

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Solution

The fourth proportional to 3,706.46, 5,115.40 and 2,113.68 is: 2,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.46 : 5,115.40 = 2,113.68 : x
  2. Step 2: Convert to fraction form
    3,706.46/5,115.40 = 2,113.68/x
  3. Step 3: Cross multiply
    3,706.46x = 5,115.40 × 2,113.68
  4. Step 4: Simplify right side
    3,706.46x = 10,812,318.67
  5. Step 5: Solve for x
    x = 10,812,318.67/3,706.46
  6. Step 6: Final answer
    x = 2,917.16

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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.