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Finding the Fourth Proportional to 3,652.91, 5,041 and 1,974.32

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Solution

The fourth proportional to 3,652.91, 5,041 and 1,974.32 is: 2,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.91 : 5,041 = 1,974.32 : x
  2. Step 2: Convert to fraction form
    3,652.91/5,041 = 1,974.32/x
  3. Step 3: Cross multiply
    3,652.91x = 5,041 × 1,974.32
  4. Step 4: Simplify right side
    3,652.91x = 9,952,547.12
  5. Step 5: Solve for x
    x = 9,952,547.12/3,652.91
  6. Step 6: Final answer
    x = 2,724.55

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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.