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Finding the Fourth Proportional to 3,264.55, 4,921.28 and 3,047.30

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Solution

The fourth proportional to 3,264.55, 4,921.28 and 3,047.30 is: 4,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.55 : 4,921.28 = 3,047.30 : x
  2. Step 2: Convert to fraction form
    3,264.55/4,921.28 = 3,047.30/x
  3. Step 3: Cross multiply
    3,264.55x = 4,921.28 × 3,047.30
  4. Step 4: Simplify right side
    3,264.55x = 14,996,616.54
  5. Step 5: Solve for x
    x = 14,996,616.54/3,264.55
  6. Step 6: Final answer
    x = 4,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.