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Finding the Fourth Proportional to 5,359.12, 8,037.20 and 1,463.68

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Solution

The fourth proportional to 5,359.12, 8,037.20 and 1,463.68 is: 2,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.12 : 8,037.20 = 1,463.68 : x
  2. Step 2: Convert to fraction form
    5,359.12/8,037.20 = 1,463.68/x
  3. Step 3: Cross multiply
    5,359.12x = 8,037.20 × 1,463.68
  4. Step 4: Simplify right side
    5,359.12x = 11,763,888.90
  5. Step 5: Solve for x
    x = 11,763,888.90/5,359.12
  6. Step 6: Final answer
    x = 2,195.12

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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.