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Finding the Fourth Proportional to 4,052.76, 6,078.24 and 1,278.96

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Solution

The fourth proportional to 4,052.76, 6,078.24 and 1,278.96 is: 1,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.76 : 6,078.24 = 1,278.96 : x
  2. Step 2: Convert to fraction form
    4,052.76/6,078.24 = 1,278.96/x
  3. Step 3: Cross multiply
    4,052.76x = 6,078.24 × 1,278.96
  4. Step 4: Simplify right side
    4,052.76x = 7,773,825.83
  5. Step 5: Solve for x
    x = 7,773,825.83/4,052.76
  6. Step 6: Final answer
    x = 1,918.16

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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.