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Finding the Fourth Proportional to 5,691.84, 8,525.52 and 3,089.28

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Solution

The fourth proportional to 5,691.84, 8,525.52 and 3,089.28 is: 4,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.84 : 8,525.52 = 3,089.28 : x
  2. Step 2: Convert to fraction form
    5,691.84/8,525.52 = 3,089.28/x
  3. Step 3: Cross multiply
    5,691.84x = 8,525.52 × 3,089.28
  4. Step 4: Simplify right side
    5,691.84x = 26,337,718.43
  5. Step 5: Solve for x
    x = 26,337,718.43/5,691.84
  6. Step 6: Final answer
    x = 4,627.28

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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.