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Finding the Fourth Proportional to 5,252.48, 7,878.72 and 3,061.20

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Solution

The fourth proportional to 5,252.48, 7,878.72 and 3,061.20 is: 4,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.48 : 7,878.72 = 3,061.20 : x
  2. Step 2: Convert to fraction form
    5,252.48/7,878.72 = 3,061.20/x
  3. Step 3: Cross multiply
    5,252.48x = 7,878.72 × 3,061.20
  4. Step 4: Simplify right side
    5,252.48x = 24,118,337.66
  5. Step 5: Solve for x
    x = 24,118,337.66/5,252.48
  6. Step 6: Final answer
    x = 4,591.80

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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.