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Finding the Fourth Proportional to 4,876.60, 7,314.90 and 4,001.80

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Solution

The fourth proportional to 4,876.60, 7,314.90 and 4,001.80 is: 6,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.60 : 7,314.90 = 4,001.80 : x
  2. Step 2: Convert to fraction form
    4,876.60/7,314.90 = 4,001.80/x
  3. Step 3: Cross multiply
    4,876.60x = 7,314.90 × 4,001.80
  4. Step 4: Simplify right side
    4,876.60x = 29,272,766.82
  5. Step 5: Solve for x
    x = 29,272,766.82/4,876.60
  6. Step 6: Final answer
    x = 6,002.70

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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.