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Finding the Fourth Proportional to 3,472.67, 5,209.23 and 1,281.54

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Solution

The fourth proportional to 3,472.67, 5,209.23 and 1,281.54 is: 1,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.67 : 5,209.23 = 1,281.54 : x
  2. Step 2: Convert to fraction form
    3,472.67/5,209.23 = 1,281.54/x
  3. Step 3: Cross multiply
    3,472.67x = 5,209.23 × 1,281.54
  4. Step 4: Simplify right side
    3,472.67x = 6,675,836.61
  5. Step 5: Solve for x
    x = 6,675,836.61/3,472.67
  6. Step 6: Final answer
    x = 1,922.40

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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.