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Finding the Fourth Proportional to 3,673.52, 5,073.24 and 3,146.48

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Solution

The fourth proportional to 3,673.52, 5,073.24 and 3,146.48 is: 4,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.52 : 5,073.24 = 3,146.48 : x
  2. Step 2: Convert to fraction form
    3,673.52/5,073.24 = 3,146.48/x
  3. Step 3: Cross multiply
    3,673.52x = 5,073.24 × 3,146.48
  4. Step 4: Simplify right side
    3,673.52x = 15,962,848.20
  5. Step 5: Solve for x
    x = 15,962,848.20/3,673.52
  6. Step 6: Final answer
    x = 4,345.38

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1.5x scale

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.