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Finding the Fourth Proportional to 4,864.74, 7,296.32 and 1,744.22

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Solution

The fourth proportional to 4,864.74, 7,296.32 and 1,744.22 is: 2,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.74 : 7,296.32 = 1,744.22 : x
  2. Step 2: Convert to fraction form
    4,864.74/7,296.32 = 1,744.22/x
  3. Step 3: Cross multiply
    4,864.74x = 7,296.32 × 1,744.22
  4. Step 4: Simplify right side
    4,864.74x = 12,726,387.27
  5. Step 5: Solve for x
    x = 12,726,387.27/4,864.74
  6. Step 6: Final answer
    x = 2,616.05

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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.