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Finding the Fourth Proportional to 3,909.52, 5,864.82 and 1,312.12

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Solution

The fourth proportional to 3,909.52, 5,864.82 and 1,312.12 is: 1,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.52 : 5,864.82 = 1,312.12 : x
  2. Step 2: Convert to fraction form
    3,909.52/5,864.82 = 1,312.12/x
  3. Step 3: Cross multiply
    3,909.52x = 5,864.82 × 1,312.12
  4. Step 4: Simplify right side
    3,909.52x = 7,695,347.62
  5. Step 5: Solve for x
    x = 7,695,347.62/3,909.52
  6. Step 6: Final answer
    x = 1,968.36

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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.