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Finding the Fourth Proportional to 3,922.92, 5,886.54 and 2,385

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Solution

The fourth proportional to 3,922.92, 5,886.54 and 2,385 is: 3,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.92 : 5,886.54 = 2,385 : x
  2. Step 2: Convert to fraction form
    3,922.92/5,886.54 = 2,385/x
  3. Step 3: Cross multiply
    3,922.92x = 5,886.54 × 2,385
  4. Step 4: Simplify right side
    3,922.92x = 14,039,397.90
  5. Step 5: Solve for x
    x = 14,039,397.90/3,922.92
  6. Step 6: Final answer
    x = 3,578.81

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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.