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Finding the Fourth Proportional to 3,512.95, 5,270.19 and 1,047.97

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Solution

The fourth proportional to 3,512.95, 5,270.19 and 1,047.97 is: 1,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.95 : 5,270.19 = 1,047.97 : x
  2. Step 2: Convert to fraction form
    3,512.95/5,270.19 = 1,047.97/x
  3. Step 3: Cross multiply
    3,512.95x = 5,270.19 × 1,047.97
  4. Step 4: Simplify right side
    3,512.95x = 5,523,001.01
  5. Step 5: Solve for x
    x = 5,523,001.01/3,512.95
  6. Step 6: Final answer
    x = 1,572.18

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Why These Related Problems?

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