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Finding the Fourth Proportional to 5,589.68, 7,713.29 and 3,071.66

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Solution

The fourth proportional to 5,589.68, 7,713.29 and 3,071.66 is: 4,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.68 : 7,713.29 = 3,071.66 : x
  2. Step 2: Convert to fraction form
    5,589.68/7,713.29 = 3,071.66/x
  3. Step 3: Cross multiply
    5,589.68x = 7,713.29 × 3,071.66
  4. Step 4: Simplify right side
    5,589.68x = 23,692,565.79
  5. Step 5: Solve for x
    x = 23,692,565.79/5,589.68
  6. Step 6: Final answer
    x = 4,238.63

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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.