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Finding the Fourth Proportional to 3,708.87, 5,108.64 and 2,587.80

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Solution

The fourth proportional to 3,708.87, 5,108.64 and 2,587.80 is: 3,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.87 : 5,108.64 = 2,587.80 : x
  2. Step 2: Convert to fraction form
    3,708.87/5,108.64 = 2,587.80/x
  3. Step 3: Cross multiply
    3,708.87x = 5,108.64 × 2,587.80
  4. Step 4: Simplify right side
    3,708.87x = 13,220,138.59
  5. Step 5: Solve for x
    x = 13,220,138.59/3,708.87
  6. Step 6: Final answer
    x = 3,564.47

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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.