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Finding the Fourth Proportional to 3,538.81, 5,308.22 and 1,592.65

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Solution

The fourth proportional to 3,538.81, 5,308.22 and 1,592.65 is: 2,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.81 : 5,308.22 = 1,592.65 : x
  2. Step 2: Convert to fraction form
    3,538.81/5,308.22 = 1,592.65/x
  3. Step 3: Cross multiply
    3,538.81x = 5,308.22 × 1,592.65
  4. Step 4: Simplify right side
    3,538.81x = 8,454,136.58
  5. Step 5: Solve for x
    x = 8,454,136.58/3,538.81
  6. Step 6: Final answer
    x = 2,388.98

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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.