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Finding the Fourth Proportional to 2,524.32, 3,758.04 and 2,512.08

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Solution

The fourth proportional to 2,524.32, 3,758.04 and 2,512.08 is: 3,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.32 : 3,758.04 = 2,512.08 : x
  2. Step 2: Convert to fraction form
    2,524.32/3,758.04 = 2,512.08/x
  3. Step 3: Cross multiply
    2,524.32x = 3,758.04 × 2,512.08
  4. Step 4: Simplify right side
    2,524.32x = 9,440,497.12
  5. Step 5: Solve for x
    x = 9,440,497.12/2,524.32
  6. Step 6: Final answer
    x = 3,739.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.