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Finding the Fourth Proportional to 5,909.78, 8,864.64 and 1,527.26

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Solution

The fourth proportional to 5,909.78, 8,864.64 and 1,527.26 is: 2,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.78 : 8,864.64 = 1,527.26 : x
  2. Step 2: Convert to fraction form
    5,909.78/8,864.64 = 1,527.26/x
  3. Step 3: Cross multiply
    5,909.78x = 8,864.64 × 1,527.26
  4. Step 4: Simplify right side
    5,909.78x = 13,538,565.76
  5. Step 5: Solve for x
    x = 13,538,565.76/5,909.78
  6. Step 6: Final answer
    x = 2,290.87

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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.