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Finding the Fourth Proportional to 6,681.38, 9,220.32 and 4,028.90

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Solution

The fourth proportional to 6,681.38, 9,220.32 and 4,028.90 is: 5,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.38 : 9,220.32 = 4,028.90 : x
  2. Step 2: Convert to fraction form
    6,681.38/9,220.32 = 4,028.90/x
  3. Step 3: Cross multiply
    6,681.38x = 9,220.32 × 4,028.90
  4. Step 4: Simplify right side
    6,681.38x = 37,147,701.15
  5. Step 5: Solve for x
    x = 37,147,701.15/6,681.38
  6. Step 6: Final answer
    x = 5,559.89

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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.