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Finding the Fourth Proportional to 4,098.54, 5,658.57 and 2,839.14

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Solution

The fourth proportional to 4,098.54, 5,658.57 and 2,839.14 is: 3,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.54 : 5,658.57 = 2,839.14 : x
  2. Step 2: Convert to fraction form
    4,098.54/5,658.57 = 2,839.14/x
  3. Step 3: Cross multiply
    4,098.54x = 5,658.57 × 2,839.14
  4. Step 4: Simplify right side
    4,098.54x = 16,065,429.94
  5. Step 5: Solve for x
    x = 16,065,429.94/4,098.54
  6. Step 6: Final answer
    x = 3,919.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.