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Finding the Fourth Proportional to 3,873.16, 5,805.75 and 1,532.22

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Solution

The fourth proportional to 3,873.16, 5,805.75 and 1,532.22 is: 2,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.16 : 5,805.75 = 1,532.22 : x
  2. Step 2: Convert to fraction form
    3,873.16/5,805.75 = 1,532.22/x
  3. Step 3: Cross multiply
    3,873.16x = 5,805.75 × 1,532.22
  4. Step 4: Simplify right side
    3,873.16x = 8,895,686.27
  5. Step 5: Solve for x
    x = 8,895,686.27/3,873.16
  6. Step 6: Final answer
    x = 2,296.75

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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.