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Finding the Fourth Proportional to 6,331.77, 8,716.41 and 5,442.39

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Solution

The fourth proportional to 6,331.77, 8,716.41 and 5,442.39 is: 7,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.77 : 8,716.41 = 5,442.39 : x
  2. Step 2: Convert to fraction form
    6,331.77/8,716.41 = 5,442.39/x
  3. Step 3: Cross multiply
    6,331.77x = 8,716.41 × 5,442.39
  4. Step 4: Simplify right side
    6,331.77x = 47,438,102.62
  5. Step 5: Solve for x
    x = 47,438,102.62/6,331.77
  6. Step 6: Final answer
    x = 7,492.08

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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.