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Finding the Fourth Proportional to 5,257.35, 7,886.04 and 1,361.79

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Solution

The fourth proportional to 5,257.35, 7,886.04 and 1,361.79 is: 2,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.35 : 7,886.04 = 1,361.79 : x
  2. Step 2: Convert to fraction form
    5,257.35/7,886.04 = 1,361.79/x
  3. Step 3: Cross multiply
    5,257.35x = 7,886.04 × 1,361.79
  4. Step 4: Simplify right side
    5,257.35x = 10,739,130.41
  5. Step 5: Solve for x
    x = 10,739,130.41/5,257.35
  6. Step 6: Final answer
    x = 2,042.69

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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.