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Finding the Fourth Proportional to 5,257.60, 7,876.80 and 4,278.40

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Solution

The fourth proportional to 5,257.60, 7,876.80 and 4,278.40 is: 6,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.60 : 7,876.80 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    5,257.60/7,876.80 = 4,278.40/x
  3. Step 3: Cross multiply
    5,257.60x = 7,876.80 × 4,278.40
  4. Step 4: Simplify right side
    5,257.60x = 33,700,101.12
  5. Step 5: Solve for x
    x = 33,700,101.12/5,257.60
  6. Step 6: Final answer
    x = 6,409.79

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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.