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Finding the Fourth Proportional to 6,422.50, 8,858.19 and 4,436.38

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Solution

The fourth proportional to 6,422.50, 8,858.19 and 4,436.38 is: 6,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.50 : 8,858.19 = 4,436.38 : x
  2. Step 2: Convert to fraction form
    6,422.50/8,858.19 = 4,436.38/x
  3. Step 3: Cross multiply
    6,422.50x = 8,858.19 × 4,436.38
  4. Step 4: Simplify right side
    6,422.50x = 39,298,296.95
  5. Step 5: Solve for x
    x = 39,298,296.95/6,422.50
  6. Step 6: Final answer
    x = 6,118.85

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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.