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Finding the Fourth Proportional to 6,536.54, 9,019.41 and 3,883.88

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Solution

The fourth proportional to 6,536.54, 9,019.41 and 3,883.88 is: 5,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.54 : 9,019.41 = 3,883.88 : x
  2. Step 2: Convert to fraction form
    6,536.54/9,019.41 = 3,883.88/x
  3. Step 3: Cross multiply
    6,536.54x = 9,019.41 × 3,883.88
  4. Step 4: Simplify right side
    6,536.54x = 35,030,306.11
  5. Step 5: Solve for x
    x = 35,030,306.11/6,536.54
  6. Step 6: Final answer
    x = 5,359.15

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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.