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Finding the Fourth Proportional to 3,910.15, 5,865.47 and 1,569.84

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Solution

The fourth proportional to 3,910.15, 5,865.47 and 1,569.84 is: 2,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.15 : 5,865.47 = 1,569.84 : x
  2. Step 2: Convert to fraction form
    3,910.15/5,865.47 = 1,569.84/x
  3. Step 3: Cross multiply
    3,910.15x = 5,865.47 × 1,569.84
  4. Step 4: Simplify right side
    3,910.15x = 9,207,872.78
  5. Step 5: Solve for x
    x = 9,207,872.78/3,910.15
  6. Step 6: Final answer
    x = 2,354.87

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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.