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Finding the Fourth Proportional to 3,856.41, 5,794.13 and 2,470.30

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Solution

The fourth proportional to 3,856.41, 5,794.13 and 2,470.30 is: 3,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.41 : 5,794.13 = 2,470.30 : x
  2. Step 2: Convert to fraction form
    3,856.41/5,794.13 = 2,470.30/x
  3. Step 3: Cross multiply
    3,856.41x = 5,794.13 × 2,470.30
  4. Step 4: Simplify right side
    3,856.41x = 14,313,231.03
  5. Step 5: Solve for x
    x = 14,313,231.03/3,856.41
  6. Step 6: Final answer
    x = 3,711.54

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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.