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Finding the Fourth Proportional to 6,589.52, 9,885.98 and 5,592.04

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Solution

The fourth proportional to 6,589.52, 9,885.98 and 5,592.04 is: 8,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.52 : 9,885.98 = 5,592.04 : x
  2. Step 2: Convert to fraction form
    6,589.52/9,885.98 = 5,592.04/x
  3. Step 3: Cross multiply
    6,589.52x = 9,885.98 × 5,592.04
  4. Step 4: Simplify right side
    6,589.52x = 55,282,795.60
  5. Step 5: Solve for x
    x = 55,282,795.60/6,589.52
  6. Step 6: Final answer
    x = 8,389.50

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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.