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Finding the Fourth Proportional to 6,419.35, 8,857.11 and 3,586.78

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Solution

The fourth proportional to 6,419.35, 8,857.11 and 3,586.78 is: 4,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.35 : 8,857.11 = 3,586.78 : x
  2. Step 2: Convert to fraction form
    6,419.35/8,857.11 = 3,586.78/x
  3. Step 3: Cross multiply
    6,419.35x = 8,857.11 × 3,586.78
  4. Step 4: Simplify right side
    6,419.35x = 31,768,505.01
  5. Step 5: Solve for x
    x = 31,768,505.01/6,419.35
  6. Step 6: Final answer
    x = 4,948.87

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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.