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Finding the Fourth Proportional to 3,947.31, 5,919.72 and 3,688.50

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Solution

The fourth proportional to 3,947.31, 5,919.72 and 3,688.50 is: 5,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.31 : 5,919.72 = 3,688.50 : x
  2. Step 2: Convert to fraction form
    3,947.31/5,919.72 = 3,688.50/x
  3. Step 3: Cross multiply
    3,947.31x = 5,919.72 × 3,688.50
  4. Step 4: Simplify right side
    3,947.31x = 21,834,887.22
  5. Step 5: Solve for x
    x = 21,834,887.22/3,947.31
  6. Step 6: Final answer
    x = 5,531.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.