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Finding the Fourth Proportional to 5,589.51, 7,713.65 and 3,071.77

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Solution

The fourth proportional to 5,589.51, 7,713.65 and 3,071.77 is: 4,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.51 : 7,713.65 = 3,071.77 : x
  2. Step 2: Convert to fraction form
    5,589.51/7,713.65 = 3,071.77/x
  3. Step 3: Cross multiply
    5,589.51x = 7,713.65 × 3,071.77
  4. Step 4: Simplify right side
    5,589.51x = 23,694,543.30
  5. Step 5: Solve for x
    x = 23,694,543.30/5,589.51
  6. Step 6: Final answer
    x = 4,239.11

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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.