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Finding the Fourth Proportional to 5,442.32, 7,510.30 and 3,052.28

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Solution

The fourth proportional to 5,442.32, 7,510.30 and 3,052.28 is: 4,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.32 : 7,510.30 = 3,052.28 : x
  2. Step 2: Convert to fraction form
    5,442.32/7,510.30 = 3,052.28/x
  3. Step 3: Cross multiply
    5,442.32x = 7,510.30 × 3,052.28
  4. Step 4: Simplify right side
    5,442.32x = 22,923,538.48
  5. Step 5: Solve for x
    x = 22,923,538.48/5,442.32
  6. Step 6: Final answer
    x = 4,212.09

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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.