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Finding the Fourth Proportional to 5,191.86, 7,787.75 and 1,296.24

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Solution

The fourth proportional to 5,191.86, 7,787.75 and 1,296.24 is: 1,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.86 : 7,787.75 = 1,296.24 : x
  2. Step 2: Convert to fraction form
    5,191.86/7,787.75 = 1,296.24/x
  3. Step 3: Cross multiply
    5,191.86x = 7,787.75 × 1,296.24
  4. Step 4: Simplify right side
    5,191.86x = 10,094,793.06
  5. Step 5: Solve for x
    x = 10,094,793.06/5,191.86
  6. Step 6: Final answer
    x = 1,944.35

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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.