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Finding the Fourth Proportional to 4,347.88, 5,993.49 and 3,713.65

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Solution

The fourth proportional to 4,347.88, 5,993.49 and 3,713.65 is: 5,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.88 : 5,993.49 = 3,713.65 : x
  2. Step 2: Convert to fraction form
    4,347.88/5,993.49 = 3,713.65/x
  3. Step 3: Cross multiply
    4,347.88x = 5,993.49 × 3,713.65
  4. Step 4: Simplify right side
    4,347.88x = 22,257,723.08
  5. Step 5: Solve for x
    x = 22,257,723.08/4,347.88
  6. Step 6: Final answer
    x = 5,119.22

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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.