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Finding the Fourth Proportional to 5,836.75, 8,758.77 and 2,374

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Solution

The fourth proportional to 5,836.75, 8,758.77 and 2,374 is: 3,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.75 : 8,758.77 = 2,374 : x
  2. Step 2: Convert to fraction form
    5,836.75/8,758.77 = 2,374/x
  3. Step 3: Cross multiply
    5,836.75x = 8,758.77 × 2,374
  4. Step 4: Simplify right side
    5,836.75x = 20,793,319.98
  5. Step 5: Solve for x
    x = 20,793,319.98/5,836.75
  6. Step 6: Final answer
    x = 3,562.48

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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.