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Finding the Fourth Proportional to 5,347.52, 7,379.20 and 3,109.24

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Solution

The fourth proportional to 5,347.52, 7,379.20 and 3,109.24 is: 4,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.52 : 7,379.20 = 3,109.24 : x
  2. Step 2: Convert to fraction form
    5,347.52/7,379.20 = 3,109.24/x
  3. Step 3: Cross multiply
    5,347.52x = 7,379.20 × 3,109.24
  4. Step 4: Simplify right side
    5,347.52x = 22,943,675.41
  5. Step 5: Solve for x
    x = 22,943,675.41/5,347.52
  6. Step 6: Final answer
    x = 4,290.53

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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.