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Finding the Fourth Proportional to 4,454.36, 6,689.14 and 3,713.22

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Solution

The fourth proportional to 4,454.36, 6,689.14 and 3,713.22 is: 5,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.36 : 6,689.14 = 3,713.22 : x
  2. Step 2: Convert to fraction form
    4,454.36/6,689.14 = 3,713.22/x
  3. Step 3: Cross multiply
    4,454.36x = 6,689.14 × 3,713.22
  4. Step 4: Simplify right side
    4,454.36x = 24,838,248.43
  5. Step 5: Solve for x
    x = 24,838,248.43/4,454.36
  6. Step 6: Final answer
    x = 5,576.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.