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Finding the Fourth Proportional to 5,864.49, 8,784.50 and 3,517.05

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Solution

The fourth proportional to 5,864.49, 8,784.50 and 3,517.05 is: 5,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.49 : 8,784.50 = 3,517.05 : x
  2. Step 2: Convert to fraction form
    5,864.49/8,784.50 = 3,517.05/x
  3. Step 3: Cross multiply
    5,864.49x = 8,784.50 × 3,517.05
  4. Step 4: Simplify right side
    5,864.49x = 30,895,508.14
  5. Step 5: Solve for x
    x = 30,895,508.14/5,864.49
  6. Step 6: Final answer
    x = 5,268.23

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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.