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Finding the Fourth Proportional to 4,640.32, 6,951.76 and 2,297.60

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Solution

The fourth proportional to 4,640.32, 6,951.76 and 2,297.60 is: 3,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.32 : 6,951.76 = 2,297.60 : x
  2. Step 2: Convert to fraction form
    4,640.32/6,951.76 = 2,297.60/x
  3. Step 3: Cross multiply
    4,640.32x = 6,951.76 × 2,297.60
  4. Step 4: Simplify right side
    4,640.32x = 15,972,363.78
  5. Step 5: Solve for x
    x = 15,972,363.78/4,640.32
  6. Step 6: Final answer
    x = 3,442.08

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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.