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Finding the Fourth Proportional to 4,473.92, 6,710.34 and 2,284.22

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Solution

The fourth proportional to 4,473.92, 6,710.34 and 2,284.22 is: 3,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.92 : 6,710.34 = 2,284.22 : x
  2. Step 2: Convert to fraction form
    4,473.92/6,710.34 = 2,284.22/x
  3. Step 3: Cross multiply
    4,473.92x = 6,710.34 × 2,284.22
  4. Step 4: Simplify right side
    4,473.92x = 15,327,892.83
  5. Step 5: Solve for x
    x = 15,327,892.83/4,473.92
  6. Step 6: Final answer
    x = 3,426.05

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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.