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Finding the Fourth Proportional to 5,947.60, 8,921.40 and 3,182.80

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Solution

The fourth proportional to 5,947.60, 8,921.40 and 3,182.80 is: 4,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.60 : 8,921.40 = 3,182.80 : x
  2. Step 2: Convert to fraction form
    5,947.60/8,921.40 = 3,182.80/x
  3. Step 3: Cross multiply
    5,947.60x = 8,921.40 × 3,182.80
  4. Step 4: Simplify right side
    5,947.60x = 28,395,031.92
  5. Step 5: Solve for x
    x = 28,395,031.92/5,947.60
  6. Step 6: Final answer
    x = 4,774.20

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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.