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Finding the Fourth Proportional to 3,471.95, 5,208.02 and 1,523.70

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Solution

The fourth proportional to 3,471.95, 5,208.02 and 1,523.70 is: 2,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.95 : 5,208.02 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    3,471.95/5,208.02 = 1,523.70/x
  3. Step 3: Cross multiply
    3,471.95x = 5,208.02 × 1,523.70
  4. Step 4: Simplify right side
    3,471.95x = 7,935,452.46
  5. Step 5: Solve for x
    x = 7,935,452.46/3,471.95
  6. Step 6: Final answer
    x = 2,285.59

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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.