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Finding the Fourth Proportional to 3,418.92, 5,123.34 and 1,565.46

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Solution

The fourth proportional to 3,418.92, 5,123.34 and 1,565.46 is: 2,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.92 : 5,123.34 = 1,565.46 : x
  2. Step 2: Convert to fraction form
    3,418.92/5,123.34 = 1,565.46/x
  3. Step 3: Cross multiply
    3,418.92x = 5,123.34 × 1,565.46
  4. Step 4: Simplify right side
    3,418.92x = 8,020,383.84
  5. Step 5: Solve for x
    x = 8,020,383.84/3,418.92
  6. Step 6: Final answer
    x = 2,345.88

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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.