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Finding the Fourth Proportional to 5,745.30, 7,929.26 and 3,506.71

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Solution

The fourth proportional to 5,745.30, 7,929.26 and 3,506.71 is: 4,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.30 : 7,929.26 = 3,506.71 : x
  2. Step 2: Convert to fraction form
    5,745.30/7,929.26 = 3,506.71/x
  3. Step 3: Cross multiply
    5,745.30x = 7,929.26 × 3,506.71
  4. Step 4: Simplify right side
    5,745.30x = 27,805,615.33
  5. Step 5: Solve for x
    x = 27,805,615.33/5,745.30
  6. Step 6: Final answer
    x = 4,839.72

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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.