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Finding the Fourth Proportional to 5,257.36, 7,886.04 and 1,361.80

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Solution

The fourth proportional to 5,257.36, 7,886.04 and 1,361.80 is: 2,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.36 : 7,886.04 = 1,361.80 : x
  2. Step 2: Convert to fraction form
    5,257.36/7,886.04 = 1,361.80/x
  3. Step 3: Cross multiply
    5,257.36x = 7,886.04 × 1,361.80
  4. Step 4: Simplify right side
    5,257.36x = 10,739,209.27
  5. Step 5: Solve for x
    x = 10,739,209.27/5,257.36
  6. Step 6: Final answer
    x = 2,042.70

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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.