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Finding the Fourth Proportional to 4,392.80, 6,589.10 and 1,105.82

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Solution

The fourth proportional to 4,392.80, 6,589.10 and 1,105.82 is: 1,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.80 : 6,589.10 = 1,105.82 : x
  2. Step 2: Convert to fraction form
    4,392.80/6,589.10 = 1,105.82/x
  3. Step 3: Cross multiply
    4,392.80x = 6,589.10 × 1,105.82
  4. Step 4: Simplify right side
    4,392.80x = 7,286,320.09
  5. Step 5: Solve for x
    x = 7,286,320.09/4,392.80
  6. Step 6: Final answer
    x = 1,658.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.