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Finding the Fourth Proportional to 5,482.39, 7,565.22 and 3,092.22

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Solution

The fourth proportional to 5,482.39, 7,565.22 and 3,092.22 is: 4,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.39 : 7,565.22 = 3,092.22 : x
  2. Step 2: Convert to fraction form
    5,482.39/7,565.22 = 3,092.22/x
  3. Step 3: Cross multiply
    5,482.39x = 7,565.22 × 3,092.22
  4. Step 4: Simplify right side
    5,482.39x = 23,393,324.59
  5. Step 5: Solve for x
    x = 23,393,324.59/5,482.39
  6. Step 6: Final answer
    x = 4,266.99

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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.