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Finding the Fourth Proportional to 4,640.18, 6,951.88 and 3,076.46

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Solution

The fourth proportional to 4,640.18, 6,951.88 and 3,076.46 is: 4,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.18 : 6,951.88 = 3,076.46 : x
  2. Step 2: Convert to fraction form
    4,640.18/6,951.88 = 3,076.46/x
  3. Step 3: Cross multiply
    4,640.18x = 6,951.88 × 3,076.46
  4. Step 4: Simplify right side
    4,640.18x = 21,387,180.74
  5. Step 5: Solve for x
    x = 21,387,180.74/4,640.18
  6. Step 6: Final answer
    x = 4,609.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.