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Finding the Fourth Proportional to 4,132.52, 5,671.24 and 4,103.36

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Solution

The fourth proportional to 4,132.52, 5,671.24 and 4,103.36 is: 5,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.52 : 5,671.24 = 4,103.36 : x
  2. Step 2: Convert to fraction form
    4,132.52/5,671.24 = 4,103.36/x
  3. Step 3: Cross multiply
    4,132.52x = 5,671.24 × 4,103.36
  4. Step 4: Simplify right side
    4,132.52x = 23,271,139.37
  5. Step 5: Solve for x
    x = 23,271,139.37/4,132.52
  6. Step 6: Final answer
    x = 5,631.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.