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Finding the Fourth Proportional to 5,731.03, 8,593.71 and 2,032.71

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Solution

The fourth proportional to 5,731.03, 8,593.71 and 2,032.71 is: 3,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.03 : 8,593.71 = 2,032.71 : x
  2. Step 2: Convert to fraction form
    5,731.03/8,593.71 = 2,032.71/x
  3. Step 3: Cross multiply
    5,731.03x = 8,593.71 × 2,032.71
  4. Step 4: Simplify right side
    5,731.03x = 17,468,511.76
  5. Step 5: Solve for x
    x = 17,468,511.76/5,731.03
  6. Step 6: Final answer
    x = 3,048.06

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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.