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Finding the Fourth Proportional to 4,616.32, 6,919.22 and 1,983.04

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Solution

The fourth proportional to 4,616.32, 6,919.22 and 1,983.04 is: 2,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.32 : 6,919.22 = 1,983.04 : x
  2. Step 2: Convert to fraction form
    4,616.32/6,919.22 = 1,983.04/x
  3. Step 3: Cross multiply
    4,616.32x = 6,919.22 × 1,983.04
  4. Step 4: Simplify right side
    4,616.32x = 13,721,090.03
  5. Step 5: Solve for x
    x = 13,721,090.03/4,616.32
  6. Step 6: Final answer
    x = 2,972.30

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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.