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Finding the Fourth Proportional to 5,482.11, 7,514.58 and 5,408.28

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Solution

The fourth proportional to 5,482.11, 7,514.58 and 5,408.28 is: 7,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.11 : 7,514.58 = 5,408.28 : x
  2. Step 2: Convert to fraction form
    5,482.11/7,514.58 = 5,408.28/x
  3. Step 3: Cross multiply
    5,482.11x = 7,514.58 × 5,408.28
  4. Step 4: Simplify right side
    5,482.11x = 40,640,952.72
  5. Step 5: Solve for x
    x = 40,640,952.72/5,482.11
  6. Step 6: Final answer
    x = 7,413.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.