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Finding the Fourth Proportional to 3,876.12, 5,339.16 and 3,277.80

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Solution

The fourth proportional to 3,876.12, 5,339.16 and 3,277.80 is: 4,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.12 : 5,339.16 = 3,277.80 : x
  2. Step 2: Convert to fraction form
    3,876.12/5,339.16 = 3,277.80/x
  3. Step 3: Cross multiply
    3,876.12x = 5,339.16 × 3,277.80
  4. Step 4: Simplify right side
    3,876.12x = 17,500,698.65
  5. Step 5: Solve for x
    x = 17,500,698.65/3,876.12
  6. Step 6: Final answer
    x = 4,515.00

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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.