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Finding the Fourth Proportional to 5,232.96, 7,849.02 and 2,460.24

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Solution

The fourth proportional to 5,232.96, 7,849.02 and 2,460.24 is: 3,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.96 : 7,849.02 = 2,460.24 : x
  2. Step 2: Convert to fraction form
    5,232.96/7,849.02 = 2,460.24/x
  3. Step 3: Cross multiply
    5,232.96x = 7,849.02 × 2,460.24
  4. Step 4: Simplify right side
    5,232.96x = 19,310,472.96
  5. Step 5: Solve for x
    x = 19,310,472.96/5,232.96
  6. Step 6: Final answer
    x = 3,690.16

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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.