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Finding the Fourth Proportional to 3,909.92, 5,863.66 and 1,312.26

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Solution

The fourth proportional to 3,909.92, 5,863.66 and 1,312.26 is: 1,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.92 : 5,863.66 = 1,312.26 : x
  2. Step 2: Convert to fraction form
    3,909.92/5,863.66 = 1,312.26/x
  3. Step 3: Cross multiply
    3,909.92x = 5,863.66 × 1,312.26
  4. Step 4: Simplify right side
    3,909.92x = 7,694,646.47
  5. Step 5: Solve for x
    x = 7,694,646.47/3,909.92
  6. Step 6: Final answer
    x = 1,967.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.