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Finding the Fourth Proportional to 3,856.60, 5,312.99 and 3,180

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Solution

The fourth proportional to 3,856.60, 5,312.99 and 3,180 is: 4,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.60 : 5,312.99 = 3,180 : x
  2. Step 2: Convert to fraction form
    3,856.60/5,312.99 = 3,180/x
  3. Step 3: Cross multiply
    3,856.60x = 5,312.99 × 3,180
  4. Step 4: Simplify right side
    3,856.60x = 16,895,308.20
  5. Step 5: Solve for x
    x = 16,895,308.20/3,856.60
  6. Step 6: Final answer
    x = 4,380.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.