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Finding the Fourth Proportional to 5,635.60, 8,454 and 2,346.86

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Solution

The fourth proportional to 5,635.60, 8,454 and 2,346.86 is: 3,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.60 : 8,454 = 2,346.86 : x
  2. Step 2: Convert to fraction form
    5,635.60/8,454 = 2,346.86/x
  3. Step 3: Cross multiply
    5,635.60x = 8,454 × 2,346.86
  4. Step 4: Simplify right side
    5,635.60x = 19,840,354.44
  5. Step 5: Solve for x
    x = 19,840,354.44/5,635.60
  6. Step 6: Final answer
    x = 3,520.54

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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.