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Finding the Fourth Proportional to 5,293.20, 7,288 and 4,494.86

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Solution

The fourth proportional to 5,293.20, 7,288 and 4,494.86 is: 6,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.20 : 7,288 = 4,494.86 : x
  2. Step 2: Convert to fraction form
    5,293.20/7,288 = 4,494.86/x
  3. Step 3: Cross multiply
    5,293.20x = 7,288 × 4,494.86
  4. Step 4: Simplify right side
    5,293.20x = 32,758,539.68
  5. Step 5: Solve for x
    x = 32,758,539.68/5,293.20
  6. Step 6: Final answer
    x = 6,188.80

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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.