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Finding the Fourth Proportional to 5,658.90, 8,488.35 and 3,909.30

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Solution

The fourth proportional to 5,658.90, 8,488.35 and 3,909.30 is: 5,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.90 : 8,488.35 = 3,909.30 : x
  2. Step 2: Convert to fraction form
    5,658.90/8,488.35 = 3,909.30/x
  3. Step 3: Cross multiply
    5,658.90x = 8,488.35 × 3,909.30
  4. Step 4: Simplify right side
    5,658.90x = 33,183,506.66
  5. Step 5: Solve for x
    x = 33,183,506.66/5,658.90
  6. Step 6: Final answer
    x = 5,863.95

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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.