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Finding the Fourth Proportional to 4,592.44, 6,889.71 and 3,658.90

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Solution

The fourth proportional to 4,592.44, 6,889.71 and 3,658.90 is: 5,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.44 : 6,889.71 = 3,658.90 : x
  2. Step 2: Convert to fraction form
    4,592.44/6,889.71 = 3,658.90/x
  3. Step 3: Cross multiply
    4,592.44x = 6,889.71 × 3,658.90
  4. Step 4: Simplify right side
    4,592.44x = 25,208,759.92
  5. Step 5: Solve for x
    x = 25,208,759.92/4,592.44
  6. Step 6: Final answer
    x = 5,489.19

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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.