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Finding the Fourth Proportional to 6,090.90, 9,092.26 and 5,352.78

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Solution

The fourth proportional to 6,090.90, 9,092.26 and 5,352.78 is: 7,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.90 : 9,092.26 = 5,352.78 : x
  2. Step 2: Convert to fraction form
    6,090.90/9,092.26 = 5,352.78/x
  3. Step 3: Cross multiply
    6,090.90x = 9,092.26 × 5,352.78
  4. Step 4: Simplify right side
    6,090.90x = 48,668,867.48
  5. Step 5: Solve for x
    x = 48,668,867.48/6,090.90
  6. Step 6: Final answer
    x = 7,990.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.