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Finding the Fourth Proportional to 5,232.60, 7,868.10 and 4,387.80

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Solution

The fourth proportional to 5,232.60, 7,868.10 and 4,387.80 is: 6,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.60 : 7,868.10 = 4,387.80 : x
  2. Step 2: Convert to fraction form
    5,232.60/7,868.10 = 4,387.80/x
  3. Step 3: Cross multiply
    5,232.60x = 7,868.10 × 4,387.80
  4. Step 4: Simplify right side
    5,232.60x = 34,523,649.18
  5. Step 5: Solve for x
    x = 34,523,649.18/5,232.60
  6. Step 6: Final answer
    x = 6,597.80

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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.