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Finding the Fourth Proportional to 4,099.74, 5,658.49 and 2,607.38

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Solution

The fourth proportional to 4,099.74, 5,658.49 and 2,607.38 is: 3,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.74 : 5,658.49 = 2,607.38 : x
  2. Step 2: Convert to fraction form
    4,099.74/5,658.49 = 2,607.38/x
  3. Step 3: Cross multiply
    4,099.74x = 5,658.49 × 2,607.38
  4. Step 4: Simplify right side
    4,099.74x = 14,753,798.85
  5. Step 5: Solve for x
    x = 14,753,798.85/4,099.74
  6. Step 6: Final answer
    x = 3,598.71

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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.