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Finding the Fourth Proportional to 5,793.60, 8,695.20 and 2,678.40

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Solution

The fourth proportional to 5,793.60, 8,695.20 and 2,678.40 is: 4,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.60 : 8,695.20 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    5,793.60/8,695.20 = 2,678.40/x
  3. Step 3: Cross multiply
    5,793.60x = 8,695.20 × 2,678.40
  4. Step 4: Simplify right side
    5,793.60x = 23,289,223.68
  5. Step 5: Solve for x
    x = 23,289,223.68/5,793.60
  6. Step 6: Final answer
    x = 4,019.82

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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.