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Finding the Fourth Proportional to 5,153.48, 7,724.96 and 2,032.24

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Solution

The fourth proportional to 5,153.48, 7,724.96 and 2,032.24 is: 3,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.48 : 7,724.96 = 2,032.24 : x
  2. Step 2: Convert to fraction form
    5,153.48/7,724.96 = 2,032.24/x
  3. Step 3: Cross multiply
    5,153.48x = 7,724.96 × 2,032.24
  4. Step 4: Simplify right side
    5,153.48x = 15,698,972.71
  5. Step 5: Solve for x
    x = 15,698,972.71/5,153.48
  6. Step 6: Final answer
    x = 3,046.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.