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Finding the Fourth Proportional to 5,204.65, 7,182.59 and 2,846.79

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Solution

The fourth proportional to 5,204.65, 7,182.59 and 2,846.79 is: 3,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.65 : 7,182.59 = 2,846.79 : x
  2. Step 2: Convert to fraction form
    5,204.65/7,182.59 = 2,846.79/x
  3. Step 3: Cross multiply
    5,204.65x = 7,182.59 × 2,846.79
  4. Step 4: Simplify right side
    5,204.65x = 20,447,321.83
  5. Step 5: Solve for x
    x = 20,447,321.83/5,204.65
  6. Step 6: Final answer
    x = 3,928.66

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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.