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Finding the Fourth Proportional to 5,356.53, 8,034.66 and 1,658.61

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Solution

The fourth proportional to 5,356.53, 8,034.66 and 1,658.61 is: 2,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.53 : 8,034.66 = 1,658.61 : x
  2. Step 2: Convert to fraction form
    5,356.53/8,034.66 = 1,658.61/x
  3. Step 3: Cross multiply
    5,356.53x = 8,034.66 × 1,658.61
  4. Step 4: Simplify right side
    5,356.53x = 13,326,367.42
  5. Step 5: Solve for x
    x = 13,326,367.42/5,356.53
  6. Step 6: Final answer
    x = 2,487.87

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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.