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Finding the Fourth Proportional to 5,690.60, 8,542.30 and 4,397.80

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Solution

The fourth proportional to 5,690.60, 8,542.30 and 4,397.80 is: 6,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.60 : 8,542.30 = 4,397.80 : x
  2. Step 2: Convert to fraction form
    5,690.60/8,542.30 = 4,397.80/x
  3. Step 3: Cross multiply
    5,690.60x = 8,542.30 × 4,397.80
  4. Step 4: Simplify right side
    5,690.60x = 37,567,326.94
  5. Step 5: Solve for x
    x = 37,567,326.94/5,690.60
  6. Step 6: Final answer
    x = 6,601.65

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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.