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Finding the Fourth Proportional to 5,253.48, 7,250.76 and 4,138.20

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Solution

The fourth proportional to 5,253.48, 7,250.76 and 4,138.20 is: 5,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.48 : 7,250.76 = 4,138.20 : x
  2. Step 2: Convert to fraction form
    5,253.48/7,250.76 = 4,138.20/x
  3. Step 3: Cross multiply
    5,253.48x = 7,250.76 × 4,138.20
  4. Step 4: Simplify right side
    5,253.48x = 30,005,095.03
  5. Step 5: Solve for x
    x = 30,005,095.03/5,253.48
  6. Step 6: Final answer
    x = 5,711.47

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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.