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Finding the Fourth Proportional to 3,856.80, 5,319.60 and 2,460

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Solution

The fourth proportional to 3,856.80, 5,319.60 and 2,460 is: 3,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.80 : 5,319.60 = 2,460 : x
  2. Step 2: Convert to fraction form
    3,856.80/5,319.60 = 2,460/x
  3. Step 3: Cross multiply
    3,856.80x = 5,319.60 × 2,460
  4. Step 4: Simplify right side
    3,856.80x = 13,086,216
  5. Step 5: Solve for x
    x = 13,086,216/3,856.80
  6. Step 6: Final answer
    x = 3,393.02

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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.