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Finding the Fourth Proportional to 5,097.32, 7,031.32 and 3,205.92

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Solution

The fourth proportional to 5,097.32, 7,031.32 and 3,205.92 is: 4,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.32 : 7,031.32 = 3,205.92 : x
  2. Step 2: Convert to fraction form
    5,097.32/7,031.32 = 3,205.92/x
  3. Step 3: Cross multiply
    5,097.32x = 7,031.32 × 3,205.92
  4. Step 4: Simplify right side
    5,097.32x = 22,541,849.41
  5. Step 5: Solve for x
    x = 22,541,849.41/5,097.32
  6. Step 6: Final answer
    x = 4,422.29

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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.