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Finding the Fourth Proportional to 5,894.78, 8,134.72 and 3,242.17

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Solution

The fourth proportional to 5,894.78, 8,134.72 and 3,242.17 is: 4,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.78 : 8,134.72 = 3,242.17 : x
  2. Step 2: Convert to fraction form
    5,894.78/8,134.72 = 3,242.17/x
  3. Step 3: Cross multiply
    5,894.78x = 8,134.72 × 3,242.17
  4. Step 4: Simplify right side
    5,894.78x = 26,374,116.70
  5. Step 5: Solve for x
    x = 26,374,116.70/5,894.78
  6. Step 6: Final answer
    x = 4,474.15

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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.