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Finding the Fourth Proportional to 3,416.39, 5,122.83 and 1,565.92

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Solution

The fourth proportional to 3,416.39, 5,122.83 and 1,565.92 is: 2,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.39 : 5,122.83 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    3,416.39/5,122.83 = 1,565.92/x
  3. Step 3: Cross multiply
    3,416.39x = 5,122.83 × 1,565.92
  4. Step 4: Simplify right side
    3,416.39x = 8,021,945.42
  5. Step 5: Solve for x
    x = 8,021,945.42/3,416.39
  6. Step 6: Final answer
    x = 2,348.08

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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.