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Finding the Fourth Proportional to 4,948.24, 7,427.14 and 4,034.86

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Solution

The fourth proportional to 4,948.24, 7,427.14 and 4,034.86 is: 6,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.24 : 7,427.14 = 4,034.86 : x
  2. Step 2: Convert to fraction form
    4,948.24/7,427.14 = 4,034.86/x
  3. Step 3: Cross multiply
    4,948.24x = 7,427.14 × 4,034.86
  4. Step 4: Simplify right side
    4,948.24x = 29,967,505.92
  5. Step 5: Solve for x
    x = 29,967,505.92/4,948.24
  6. Step 6: Final answer
    x = 6,056.20

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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.