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Finding the Fourth Proportional to 3,856.91, 5,785.98 and 1,392.34

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Solution

The fourth proportional to 3,856.91, 5,785.98 and 1,392.34 is: 2,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.91 : 5,785.98 = 1,392.34 : x
  2. Step 2: Convert to fraction form
    3,856.91/5,785.98 = 1,392.34/x
  3. Step 3: Cross multiply
    3,856.91x = 5,785.98 × 1,392.34
  4. Step 4: Simplify right side
    3,856.91x = 8,056,036.93
  5. Step 5: Solve for x
    x = 8,056,036.93/3,856.91
  6. Step 6: Final answer
    x = 2,088.73

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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.