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Finding the Fourth Proportional to 5,470.77, 8,209.49 and 2,008.29

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Solution

The fourth proportional to 5,470.77, 8,209.49 and 2,008.29 is: 3,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.77 : 8,209.49 = 2,008.29 : x
  2. Step 2: Convert to fraction form
    5,470.77/8,209.49 = 2,008.29/x
  3. Step 3: Cross multiply
    5,470.77x = 8,209.49 × 2,008.29
  4. Step 4: Simplify right side
    5,470.77x = 16,487,026.63
  5. Step 5: Solve for x
    x = 16,487,026.63/5,470.77
  6. Step 6: Final answer
    x = 3,013.66

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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.