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Finding the Fourth Proportional to 3,750.52, 5,625.24 and 1,442.02

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Solution

The fourth proportional to 3,750.52, 5,625.24 and 1,442.02 is: 2,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.52 : 5,625.24 = 1,442.02 : x
  2. Step 2: Convert to fraction form
    3,750.52/5,625.24 = 1,442.02/x
  3. Step 3: Cross multiply
    3,750.52x = 5,625.24 × 1,442.02
  4. Step 4: Simplify right side
    3,750.52x = 8,111,708.58
  5. Step 5: Solve for x
    x = 8,111,708.58/3,750.52
  6. Step 6: Final answer
    x = 2,162.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.