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Finding the Fourth Proportional to 3,706.91, 5,113.51 and 2,380.81

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Solution

The fourth proportional to 3,706.91, 5,113.51 and 2,380.81 is: 3,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.91 : 5,113.51 = 2,380.81 : x
  2. Step 2: Convert to fraction form
    3,706.91/5,113.51 = 2,380.81/x
  3. Step 3: Cross multiply
    3,706.91x = 5,113.51 × 2,380.81
  4. Step 4: Simplify right side
    3,706.91x = 12,174,295.74
  5. Step 5: Solve for x
    x = 12,174,295.74/3,706.91
  6. Step 6: Final answer
    x = 3,284.22

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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.