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Finding the Fourth Proportional to 4,947.87, 6,820.40 and 3,687

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Solution

The fourth proportional to 4,947.87, 6,820.40 and 3,687 is: 5,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.87 : 6,820.40 = 3,687 : x
  2. Step 2: Convert to fraction form
    4,947.87/6,820.40 = 3,687/x
  3. Step 3: Cross multiply
    4,947.87x = 6,820.40 × 3,687
  4. Step 4: Simplify right side
    4,947.87x = 25,146,796.37
  5. Step 5: Solve for x
    x = 25,146,796.37/4,947.87
  6. Step 6: Final answer
    x = 5,082.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.