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Finding the Fourth Proportional to 3,327.48, 4,992.96 and 2,547

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Solution

The fourth proportional to 3,327.48, 4,992.96 and 2,547 is: 3,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.48 : 4,992.96 = 2,547 : x
  2. Step 2: Convert to fraction form
    3,327.48/4,992.96 = 2,547/x
  3. Step 3: Cross multiply
    3,327.48x = 4,992.96 × 2,547
  4. Step 4: Simplify right side
    3,327.48x = 12,717,069.12
  5. Step 5: Solve for x
    x = 12,717,069.12/3,327.48
  6. Step 6: Final answer
    x = 3,821.83

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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.