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Finding the Fourth Proportional to 3,872.52, 5,341.98 and 2,453.64

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Solution

The fourth proportional to 3,872.52, 5,341.98 and 2,453.64 is: 3,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.52 : 5,341.98 = 2,453.64 : x
  2. Step 2: Convert to fraction form
    3,872.52/5,341.98 = 2,453.64/x
  3. Step 3: Cross multiply
    3,872.52x = 5,341.98 × 2,453.64
  4. Step 4: Simplify right side
    3,872.52x = 13,107,295.81
  5. Step 5: Solve for x
    x = 13,107,295.81/3,872.52
  6. Step 6: Final answer
    x = 3,384.69

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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.