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Finding the Fourth Proportional to 5,436.78, 7,503.47 and 3,079

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Solution

The fourth proportional to 5,436.78, 7,503.47 and 3,079 is: 4,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.78 : 7,503.47 = 3,079 : x
  2. Step 2: Convert to fraction form
    5,436.78/7,503.47 = 3,079/x
  3. Step 3: Cross multiply
    5,436.78x = 7,503.47 × 3,079
  4. Step 4: Simplify right side
    5,436.78x = 23,103,184.13
  5. Step 5: Solve for x
    x = 23,103,184.13/5,436.78
  6. Step 6: Final answer
    x = 4,249.42

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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.