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Finding the Fourth Proportional to 3,832.32, 5,746.56 and 1,522.24

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Solution

The fourth proportional to 3,832.32, 5,746.56 and 1,522.24 is: 2,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.32 : 5,746.56 = 1,522.24 : x
  2. Step 2: Convert to fraction form
    3,832.32/5,746.56 = 1,522.24/x
  3. Step 3: Cross multiply
    3,832.32x = 5,746.56 × 1,522.24
  4. Step 4: Simplify right side
    3,832.32x = 8,747,643.49
  5. Step 5: Solve for x
    x = 8,747,643.49/3,832.32
  6. Step 6: Final answer
    x = 2,282.60

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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.