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Finding the Fourth Proportional to 4,326.48, 6,486.52 and 1,727.44

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Solution

The fourth proportional to 4,326.48, 6,486.52 and 1,727.44 is: 2,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.48 : 6,486.52 = 1,727.44 : x
  2. Step 2: Convert to fraction form
    4,326.48/6,486.52 = 1,727.44/x
  3. Step 3: Cross multiply
    4,326.48x = 6,486.52 × 1,727.44
  4. Step 4: Simplify right side
    4,326.48x = 11,205,074.11
  5. Step 5: Solve for x
    x = 11,205,074.11/4,326.48
  6. Step 6: Final answer
    x = 2,589.88

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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.