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Finding the Fourth Proportional to 5,442.47, 7,510.52 and 3,052.43

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Solution

The fourth proportional to 5,442.47, 7,510.52 and 3,052.43 is: 4,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.47 : 7,510.52 = 3,052.43 : x
  2. Step 2: Convert to fraction form
    5,442.47/7,510.52 = 3,052.43/x
  3. Step 3: Cross multiply
    5,442.47x = 7,510.52 × 3,052.43
  4. Step 4: Simplify right side
    5,442.47x = 22,925,336.56
  5. Step 5: Solve for x
    x = 22,925,336.56/5,442.47
  6. Step 6: Final answer
    x = 4,212.30

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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.