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Finding the Fourth Proportional to 4,753.41, 6,562.80 and 4,255.20

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Solution

The fourth proportional to 4,753.41, 6,562.80 and 4,255.20 is: 5,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.41 : 6,562.80 = 4,255.20 : x
  2. Step 2: Convert to fraction form
    4,753.41/6,562.80 = 4,255.20/x
  3. Step 3: Cross multiply
    4,753.41x = 6,562.80 × 4,255.20
  4. Step 4: Simplify right side
    4,753.41x = 27,926,026.56
  5. Step 5: Solve for x
    x = 27,926,026.56/4,753.41
  6. Step 6: Final answer
    x = 5,874.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.