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Finding the Fourth Proportional to 5,648.50, 7,793.12 and 3,660.58

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Solution

The fourth proportional to 5,648.50, 7,793.12 and 3,660.58 is: 5,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.50 : 7,793.12 = 3,660.58 : x
  2. Step 2: Convert to fraction form
    5,648.50/7,793.12 = 3,660.58/x
  3. Step 3: Cross multiply
    5,648.50x = 7,793.12 × 3,660.58
  4. Step 4: Simplify right side
    5,648.50x = 28,527,339.21
  5. Step 5: Solve for x
    x = 28,527,339.21/5,648.50
  6. Step 6: Final answer
    x = 5,050.43

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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.