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Finding the Fourth Proportional to 5,153.48, 7,730.49 and 2,382.74

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Solution

The fourth proportional to 5,153.48, 7,730.49 and 2,382.74 is: 3,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.48 : 7,730.49 = 2,382.74 : x
  2. Step 2: Convert to fraction form
    5,153.48/7,730.49 = 2,382.74/x
  3. Step 3: Cross multiply
    5,153.48x = 7,730.49 × 2,382.74
  4. Step 4: Simplify right side
    5,153.48x = 18,419,747.74
  5. Step 5: Solve for x
    x = 18,419,747.74/5,153.48
  6. Step 6: Final answer
    x = 3,574.23

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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.