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Finding the Fourth Proportional to 3,524.64, 5,287.65 and 1,576.86

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Solution

The fourth proportional to 3,524.64, 5,287.65 and 1,576.86 is: 2,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.64 : 5,287.65 = 1,576.86 : x
  2. Step 2: Convert to fraction form
    3,524.64/5,287.65 = 1,576.86/x
  3. Step 3: Cross multiply
    3,524.64x = 5,287.65 × 1,576.86
  4. Step 4: Simplify right side
    3,524.64x = 8,337,883.78
  5. Step 5: Solve for x
    x = 8,337,883.78/3,524.64
  6. Step 6: Final answer
    x = 2,365.60

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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.