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Finding the Fourth Proportional to 5,143.86, 7,715.79 and 1,248.27

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Solution

The fourth proportional to 5,143.86, 7,715.79 and 1,248.27 is: 1,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.86 : 7,715.79 = 1,248.27 : x
  2. Step 2: Convert to fraction form
    5,143.86/7,715.79 = 1,248.27/x
  3. Step 3: Cross multiply
    5,143.86x = 7,715.79 × 1,248.27
  4. Step 4: Simplify right side
    5,143.86x = 9,631,360.25
  5. Step 5: Solve for x
    x = 9,631,360.25/5,143.86
  6. Step 6: Final answer
    x = 1,872.40

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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.