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Finding the Fourth Proportional to 5,241.26, 7,856.22 and 2,644.40

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Solution

The fourth proportional to 5,241.26, 7,856.22 and 2,644.40 is: 3,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.26 : 7,856.22 = 2,644.40 : x
  2. Step 2: Convert to fraction form
    5,241.26/7,856.22 = 2,644.40/x
  3. Step 3: Cross multiply
    5,241.26x = 7,856.22 × 2,644.40
  4. Step 4: Simplify right side
    5,241.26x = 20,774,988.17
  5. Step 5: Solve for x
    x = 20,774,988.17/5,241.26
  6. Step 6: Final answer
    x = 3,963.74

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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.