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Finding the Fourth Proportional to 5,098.24, 7,645.95 and 3,464.80

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Solution

The fourth proportional to 5,098.24, 7,645.95 and 3,464.80 is: 5,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.24 : 7,645.95 = 3,464.80 : x
  2. Step 2: Convert to fraction form
    5,098.24/7,645.95 = 3,464.80/x
  3. Step 3: Cross multiply
    5,098.24x = 7,645.95 × 3,464.80
  4. Step 4: Simplify right side
    5,098.24x = 26,491,687.56
  5. Step 5: Solve for x
    x = 26,491,687.56/5,098.24
  6. Step 6: Final answer
    x = 5,196.24

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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.