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Finding the Fourth Proportional to 4,616.20, 6,921.78 and 3,157

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Solution

The fourth proportional to 4,616.20, 6,921.78 and 3,157 is: 4,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.20 : 6,921.78 = 3,157 : x
  2. Step 2: Convert to fraction form
    4,616.20/6,921.78 = 3,157/x
  3. Step 3: Cross multiply
    4,616.20x = 6,921.78 × 3,157
  4. Step 4: Simplify right side
    4,616.20x = 21,852,059.46
  5. Step 5: Solve for x
    x = 21,852,059.46/4,616.20
  6. Step 6: Final answer
    x = 4,733.78

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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.