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Finding the Fourth Proportional to 6,436.66, 8,882.44 and 3,784.14

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Solution

The fourth proportional to 6,436.66, 8,882.44 and 3,784.14 is: 5,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.66 : 8,882.44 = 3,784.14 : x
  2. Step 2: Convert to fraction form
    6,436.66/8,882.44 = 3,784.14/x
  3. Step 3: Cross multiply
    6,436.66x = 8,882.44 × 3,784.14
  4. Step 4: Simplify right side
    6,436.66x = 33,612,396.50
  5. Step 5: Solve for x
    x = 33,612,396.50/6,436.66
  6. Step 6: Final answer
    x = 5,222.02

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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.