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Finding the Fourth Proportional to 4,711.68, 7,068.46 and 2,249.28

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Solution

The fourth proportional to 4,711.68, 7,068.46 and 2,249.28 is: 3,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.68 : 7,068.46 = 2,249.28 : x
  2. Step 2: Convert to fraction form
    4,711.68/7,068.46 = 2,249.28/x
  3. Step 3: Cross multiply
    4,711.68x = 7,068.46 × 2,249.28
  4. Step 4: Simplify right side
    4,711.68x = 15,898,945.71
  5. Step 5: Solve for x
    x = 15,898,945.71/4,711.68
  6. Step 6: Final answer
    x = 3,374.37

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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.