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Finding the Fourth Proportional to 5,589.51, 7,707.12 and 3,570.18

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Solution

The fourth proportional to 5,589.51, 7,707.12 and 3,570.18 is: 4,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.51 : 7,707.12 = 3,570.18 : x
  2. Step 2: Convert to fraction form
    5,589.51/7,707.12 = 3,570.18/x
  3. Step 3: Cross multiply
    5,589.51x = 7,707.12 × 3,570.18
  4. Step 4: Simplify right side
    5,589.51x = 27,515,805.68
  5. Step 5: Solve for x
    x = 27,515,805.68/5,589.51
  6. Step 6: Final answer
    x = 4,922.76

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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.