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Finding the Fourth Proportional to 3,472.78, 5,209.16 and 875.72

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Solution

The fourth proportional to 3,472.78, 5,209.16 and 875.72 is: 1,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.78 : 5,209.16 = 875.72 : x
  2. Step 2: Convert to fraction form
    3,472.78/5,209.16 = 875.72/x
  3. Step 3: Cross multiply
    3,472.78x = 5,209.16 × 875.72
  4. Step 4: Simplify right side
    3,472.78x = 4,561,765.60
  5. Step 5: Solve for x
    x = 4,561,765.60/3,472.78
  6. Step 6: Final answer
    x = 1,313.58

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1.5x scale

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.