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Finding the Fourth Proportional to 5,191.47, 7,774.79 and 2,847.87

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Solution

The fourth proportional to 5,191.47, 7,774.79 and 2,847.87 is: 4,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.47 : 7,774.79 = 2,847.87 : x
  2. Step 2: Convert to fraction form
    5,191.47/7,774.79 = 2,847.87/x
  3. Step 3: Cross multiply
    5,191.47x = 7,774.79 × 2,847.87
  4. Step 4: Simplify right side
    5,191.47x = 22,141,576.96
  5. Step 5: Solve for x
    x = 22,141,576.96/5,191.47
  6. Step 6: Final answer
    x = 4,264.99

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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.