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Finding the Fourth Proportional to 5,257.62, 7,885.89 and 1,509.27

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Solution

The fourth proportional to 5,257.62, 7,885.89 and 1,509.27 is: 2,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.62 : 7,885.89 = 1,509.27 : x
  2. Step 2: Convert to fraction form
    5,257.62/7,885.89 = 1,509.27/x
  3. Step 3: Cross multiply
    5,257.62x = 7,885.89 × 1,509.27
  4. Step 4: Simplify right side
    5,257.62x = 11,901,937.20
  5. Step 5: Solve for x
    x = 11,901,937.20/5,257.62
  6. Step 6: Final answer
    x = 2,263.75

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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.