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Finding the Fourth Proportional to 5,232.44, 7,849.20 and 2,459

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Solution

The fourth proportional to 5,232.44, 7,849.20 and 2,459 is: 3,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.44 : 7,849.20 = 2,459 : x
  2. Step 2: Convert to fraction form
    5,232.44/7,849.20 = 2,459/x
  3. Step 3: Cross multiply
    5,232.44x = 7,849.20 × 2,459
  4. Step 4: Simplify right side
    5,232.44x = 19,301,182.80
  5. Step 5: Solve for x
    x = 19,301,182.80/5,232.44
  6. Step 6: Final answer
    x = 3,688.75

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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.