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Finding the Fourth Proportional to 3,877.54, 5,352.38 and 2,305.63

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Solution

The fourth proportional to 3,877.54, 5,352.38 and 2,305.63 is: 3,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.54 : 5,352.38 = 2,305.63 : x
  2. Step 2: Convert to fraction form
    3,877.54/5,352.38 = 2,305.63/x
  3. Step 3: Cross multiply
    3,877.54x = 5,352.38 × 2,305.63
  4. Step 4: Simplify right side
    3,877.54x = 12,340,607.90
  5. Step 5: Solve for x
    x = 12,340,607.90/3,877.54
  6. Step 6: Final answer
    x = 3,182.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.