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Finding the Fourth Proportional to 4,660.16, 6,960.32 and 4,220.48

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Solution

The fourth proportional to 4,660.16, 6,960.32 and 4,220.48 is: 6,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.16 : 6,960.32 = 4,220.48 : x
  2. Step 2: Convert to fraction form
    4,660.16/6,960.32 = 4,220.48/x
  3. Step 3: Cross multiply
    4,660.16x = 6,960.32 × 4,220.48
  4. Step 4: Simplify right side
    4,660.16x = 29,375,891.35
  5. Step 5: Solve for x
    x = 29,375,891.35/4,660.16
  6. Step 6: Final answer
    x = 6,303.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.