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Finding the Fourth Proportional to 5,894.64, 8,132.04 and 3,654.90

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Solution

The fourth proportional to 5,894.64, 8,132.04 and 3,654.90 is: 5,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.64 : 8,132.04 = 3,654.90 : x
  2. Step 2: Convert to fraction form
    5,894.64/8,132.04 = 3,654.90/x
  3. Step 3: Cross multiply
    5,894.64x = 8,132.04 × 3,654.90
  4. Step 4: Simplify right side
    5,894.64x = 29,721,793.00
  5. Step 5: Solve for x
    x = 29,721,793.00/5,894.64
  6. Step 6: Final answer
    x = 5,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.