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Finding the Fourth Proportional to 6,548.38, 9,035.19 and 3,859.70

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Solution

The fourth proportional to 6,548.38, 9,035.19 and 3,859.70 is: 5,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.38 : 9,035.19 = 3,859.70 : x
  2. Step 2: Convert to fraction form
    6,548.38/9,035.19 = 3,859.70/x
  3. Step 3: Cross multiply
    6,548.38x = 9,035.19 × 3,859.70
  4. Step 4: Simplify right side
    6,548.38x = 34,873,145.43
  5. Step 5: Solve for x
    x = 34,873,145.43/6,548.38
  6. Step 6: Final answer
    x = 5,325.46

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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.