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Finding the Fourth Proportional to 3,706.86, 5,103.81 and 3,146.16

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Solution

The fourth proportional to 3,706.86, 5,103.81 and 3,146.16 is: 4,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.86 : 5,103.81 = 3,146.16 : x
  2. Step 2: Convert to fraction form
    3,706.86/5,103.81 = 3,146.16/x
  3. Step 3: Cross multiply
    3,706.86x = 5,103.81 × 3,146.16
  4. Step 4: Simplify right side
    3,706.86x = 16,057,402.87
  5. Step 5: Solve for x
    x = 16,057,402.87/3,706.86
  6. Step 6: Final answer
    x = 4,331.81

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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.