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Finding the Fourth Proportional to 5,585.78, 7,708.07 and 3,068.22

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Solution

The fourth proportional to 5,585.78, 7,708.07 and 3,068.22 is: 4,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.78 : 7,708.07 = 3,068.22 : x
  2. Step 2: Convert to fraction form
    5,585.78/7,708.07 = 3,068.22/x
  3. Step 3: Cross multiply
    5,585.78x = 7,708.07 × 3,068.22
  4. Step 4: Simplify right side
    5,585.78x = 23,650,062.21
  5. Step 5: Solve for x
    x = 23,650,062.21/5,585.78
  6. Step 6: Final answer
    x = 4,233.97

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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.