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Finding the Fourth Proportional to 5,648.58, 8,475.30 and 3,179.70

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Solution

The fourth proportional to 5,648.58, 8,475.30 and 3,179.70 is: 4,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.58 : 8,475.30 = 3,179.70 : x
  2. Step 2: Convert to fraction form
    5,648.58/8,475.30 = 3,179.70/x
  3. Step 3: Cross multiply
    5,648.58x = 8,475.30 × 3,179.70
  4. Step 4: Simplify right side
    5,648.58x = 26,948,911.41
  5. Step 5: Solve for x
    x = 26,948,911.41/5,648.58
  6. Step 6: Final answer
    x = 4,770.92

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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.