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Finding the Fourth Proportional to 5,615.97, 7,749.66 and 3,097.92

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Solution

The fourth proportional to 5,615.97, 7,749.66 and 3,097.92 is: 4,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.97 : 7,749.66 = 3,097.92 : x
  2. Step 2: Convert to fraction form
    5,615.97/7,749.66 = 3,097.92/x
  3. Step 3: Cross multiply
    5,615.97x = 7,749.66 × 3,097.92
  4. Step 4: Simplify right side
    5,615.97x = 24,007,826.71
  5. Step 5: Solve for x
    x = 24,007,826.71/5,615.97
  6. Step 6: Final answer
    x = 4,274.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.