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Finding the Fourth Proportional to 5,809.25, 8,016.75 and 3,156.66

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Solution

The fourth proportional to 5,809.25, 8,016.75 and 3,156.66 is: 4,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.25 : 8,016.75 = 3,156.66 : x
  2. Step 2: Convert to fraction form
    5,809.25/8,016.75 = 3,156.66/x
  3. Step 3: Cross multiply
    5,809.25x = 8,016.75 × 3,156.66
  4. Step 4: Simplify right side
    5,809.25x = 25,306,180.92
  5. Step 5: Solve for x
    x = 25,306,180.92/5,809.25
  6. Step 6: Final answer
    x = 4,356.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.