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Finding the Fourth Proportional to 5,392.32, 7,438.92 and 3,897.87

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Solution

The fourth proportional to 5,392.32, 7,438.92 and 3,897.87 is: 5,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.32 : 7,438.92 = 3,897.87 : x
  2. Step 2: Convert to fraction form
    5,392.32/7,438.92 = 3,897.87/x
  3. Step 3: Cross multiply
    5,392.32x = 7,438.92 × 3,897.87
  4. Step 4: Simplify right side
    5,392.32x = 28,995,943.10
  5. Step 5: Solve for x
    x = 28,995,943.10/5,392.32
  6. Step 6: Final answer
    x = 5,377.27

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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.