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Finding the Fourth Proportional to 3,909.90, 5,864.91 and 1,312.86

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Solution

The fourth proportional to 3,909.90, 5,864.91 and 1,312.86 is: 1,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.90 : 5,864.91 = 1,312.86 : x
  2. Step 2: Convert to fraction form
    3,909.90/5,864.91 = 1,312.86/x
  3. Step 3: Cross multiply
    3,909.90x = 5,864.91 × 1,312.86
  4. Step 4: Simplify right side
    3,909.90x = 7,699,805.74
  5. Step 5: Solve for x
    x = 7,699,805.74/3,909.90
  6. Step 6: Final answer
    x = 1,969.31

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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.