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Finding the Fourth Proportional to 6,419.84, 8,857.50 and 3,767.36

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Solution

The fourth proportional to 6,419.84, 8,857.50 and 3,767.36 is: 5,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.84 : 8,857.50 = 3,767.36 : x
  2. Step 2: Convert to fraction form
    6,419.84/8,857.50 = 3,767.36/x
  3. Step 3: Cross multiply
    6,419.84x = 8,857.50 × 3,767.36
  4. Step 4: Simplify right side
    6,419.84x = 33,369,391.20
  5. Step 5: Solve for x
    x = 33,369,391.20/6,419.84
  6. Step 6: Final answer
    x = 5,197.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.