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Finding the Fourth Proportional to 5,393.52, 8,083.29 and 2,429.76

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Solution

The fourth proportional to 5,393.52, 8,083.29 and 2,429.76 is: 3,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.52 : 8,083.29 = 2,429.76 : x
  2. Step 2: Convert to fraction form
    5,393.52/8,083.29 = 2,429.76/x
  3. Step 3: Cross multiply
    5,393.52x = 8,083.29 × 2,429.76
  4. Step 4: Simplify right side
    5,393.52x = 19,640,454.71
  5. Step 5: Solve for x
    x = 19,640,454.71/5,393.52
  6. Step 6: Final answer
    x = 3,641.49

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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.