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Finding the Fourth Proportional to 4,870.87, 6,721.32 and 2,983

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Solution

The fourth proportional to 4,870.87, 6,721.32 and 2,983 is: 4,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.87 : 6,721.32 = 2,983 : x
  2. Step 2: Convert to fraction form
    4,870.87/6,721.32 = 2,983/x
  3. Step 3: Cross multiply
    4,870.87x = 6,721.32 × 2,983
  4. Step 4: Simplify right side
    4,870.87x = 20,049,697.56
  5. Step 5: Solve for x
    x = 20,049,697.56/4,870.87
  6. Step 6: Final answer
    x = 4,116.25

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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.