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Finding the Fourth Proportional to 5,615.29, 7,749.33 and 3,097.69

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Solution

The fourth proportional to 5,615.29, 7,749.33 and 3,097.69 is: 4,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.29 : 7,749.33 = 3,097.69 : x
  2. Step 2: Convert to fraction form
    5,615.29/7,749.33 = 3,097.69/x
  3. Step 3: Cross multiply
    5,615.29x = 7,749.33 × 3,097.69
  4. Step 4: Simplify right side
    5,615.29x = 24,005,022.05
  5. Step 5: Solve for x
    x = 24,005,022.05/5,615.29
  6. Step 6: Final answer
    x = 4,274.94

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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.