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Finding the Fourth Proportional to 5,609.94, 7,744.69 and 4,348.16

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Solution

The fourth proportional to 5,609.94, 7,744.69 and 4,348.16 is: 6,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.94 : 7,744.69 = 4,348.16 : x
  2. Step 2: Convert to fraction form
    5,609.94/7,744.69 = 4,348.16/x
  3. Step 3: Cross multiply
    5,609.94x = 7,744.69 × 4,348.16
  4. Step 4: Simplify right side
    5,609.94x = 33,675,151.27
  5. Step 5: Solve for x
    x = 33,675,151.27/5,609.94
  6. Step 6: Final answer
    x = 6,002.76

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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.