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Finding the Fourth Proportional to 5,894.34, 8,134.71 and 3,377.25

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Solution

The fourth proportional to 5,894.34, 8,134.71 and 3,377.25 is: 4,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.34 : 8,134.71 = 3,377.25 : x
  2. Step 2: Convert to fraction form
    5,894.34/8,134.71 = 3,377.25/x
  3. Step 3: Cross multiply
    5,894.34x = 8,134.71 × 3,377.25
  4. Step 4: Simplify right side
    5,894.34x = 27,472,949.35
  5. Step 5: Solve for x
    x = 27,472,949.35/5,894.34
  6. Step 6: Final answer
    x = 4,660.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.