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Finding the Fourth Proportional to 5,780.90, 8,658.38 and 4,478.42

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Solution

The fourth proportional to 5,780.90, 8,658.38 and 4,478.42 is: 6,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.90 : 8,658.38 = 4,478.42 : x
  2. Step 2: Convert to fraction form
    5,780.90/8,658.38 = 4,478.42/x
  3. Step 3: Cross multiply
    5,780.90x = 8,658.38 × 4,478.42
  4. Step 4: Simplify right side
    5,780.90x = 38,775,862.16
  5. Step 5: Solve for x
    x = 38,775,862.16/5,780.90
  6. Step 6: Final answer
    x = 6,707.58

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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.