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Finding the Fourth Proportional to 3,875.52, 5,352.57 and 3,001.89

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Solution

The fourth proportional to 3,875.52, 5,352.57 and 3,001.89 is: 4,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.52 : 5,352.57 = 3,001.89 : x
  2. Step 2: Convert to fraction form
    3,875.52/5,352.57 = 3,001.89/x
  3. Step 3: Cross multiply
    3,875.52x = 5,352.57 × 3,001.89
  4. Step 4: Simplify right side
    3,875.52x = 16,067,826.36
  5. Step 5: Solve for x
    x = 16,067,826.36/3,875.52
  6. Step 6: Final answer
    x = 4,145.98

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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.