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Finding the Fourth Proportional to 5,615.67, 7,749.67 and 3,097.87

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Solution

The fourth proportional to 5,615.67, 7,749.67 and 3,097.87 is: 4,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.67 : 7,749.67 = 3,097.87 : x
  2. Step 2: Convert to fraction form
    5,615.67/7,749.67 = 3,097.87/x
  3. Step 3: Cross multiply
    5,615.67x = 7,749.67 × 3,097.87
  4. Step 4: Simplify right side
    5,615.67x = 24,007,470.20
  5. Step 5: Solve for x
    x = 24,007,470.20/5,615.67
  6. Step 6: Final answer
    x = 4,275.09

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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.