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Finding the Fourth Proportional to 5,744.73, 7,929.72 and 3,386.73

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Solution

The fourth proportional to 5,744.73, 7,929.72 and 3,386.73 is: 4,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.73 : 7,929.72 = 3,386.73 : x
  2. Step 2: Convert to fraction form
    5,744.73/7,929.72 = 3,386.73/x
  3. Step 3: Cross multiply
    5,744.73x = 7,929.72 × 3,386.73
  4. Step 4: Simplify right side
    5,744.73x = 26,855,820.62
  5. Step 5: Solve for x
    x = 26,855,820.62/5,744.73
  6. Step 6: Final answer
    x = 4,674.86

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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.