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Finding the Fourth Proportional to 5,894.60, 8,134.68 and 3,242.24

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Solution

The fourth proportional to 5,894.60, 8,134.68 and 3,242.24 is: 4,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.60 : 8,134.68 = 3,242.24 : x
  2. Step 2: Convert to fraction form
    5,894.60/8,134.68 = 3,242.24/x
  3. Step 3: Cross multiply
    5,894.60x = 8,134.68 × 3,242.24
  4. Step 4: Simplify right side
    5,894.60x = 26,374,584.88
  5. Step 5: Solve for x
    x = 26,374,584.88/5,894.60
  6. Step 6: Final answer
    x = 4,474.36

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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.