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Finding the Fourth Proportional to 4,068.71, 6,104.67 and 1,729.22

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Solution

The fourth proportional to 4,068.71, 6,104.67 and 1,729.22 is: 2,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.71 : 6,104.67 = 1,729.22 : x
  2. Step 2: Convert to fraction form
    4,068.71/6,104.67 = 1,729.22/x
  3. Step 3: Cross multiply
    4,068.71x = 6,104.67 × 1,729.22
  4. Step 4: Simplify right side
    4,068.71x = 10,556,317.46
  5. Step 5: Solve for x
    x = 10,556,317.46/4,068.71
  6. Step 6: Final answer
    x = 2,594.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.