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Finding the Fourth Proportional to 4,876.47, 7,314.71 and 1,414.53

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Solution

The fourth proportional to 4,876.47, 7,314.71 and 1,414.53 is: 2,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.47 : 7,314.71 = 1,414.53 : x
  2. Step 2: Convert to fraction form
    4,876.47/7,314.71 = 1,414.53/x
  3. Step 3: Cross multiply
    4,876.47x = 7,314.71 × 1,414.53
  4. Step 4: Simplify right side
    4,876.47x = 10,346,869.66
  5. Step 5: Solve for x
    x = 10,346,869.66/4,876.47
  6. Step 6: Final answer
    x = 2,121.80

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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.