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Finding the Fourth Proportional to 3,909.37, 5,864.07 and 987.65

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Solution

The fourth proportional to 3,909.37, 5,864.07 and 987.65 is: 1,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.37 : 5,864.07 = 987.65 : x
  2. Step 2: Convert to fraction form
    3,909.37/5,864.07 = 987.65/x
  3. Step 3: Cross multiply
    3,909.37x = 5,864.07 × 987.65
  4. Step 4: Simplify right side
    3,909.37x = 5,791,643.80
  5. Step 5: Solve for x
    x = 5,791,643.80/3,909.37
  6. Step 6: Final answer
    x = 1,481.48

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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.