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Finding the Fourth Proportional to 3,870.78, 5,342.52 and 2,544.60

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Solution

The fourth proportional to 3,870.78, 5,342.52 and 2,544.60 is: 3,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.78 : 5,342.52 = 2,544.60 : x
  2. Step 2: Convert to fraction form
    3,870.78/5,342.52 = 2,544.60/x
  3. Step 3: Cross multiply
    3,870.78x = 5,342.52 × 2,544.60
  4. Step 4: Simplify right side
    3,870.78x = 13,594,576.39
  5. Step 5: Solve for x
    x = 13,594,576.39/3,870.78
  6. Step 6: Final answer
    x = 3,512.10

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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.