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Finding the Fourth Proportional to 6,419.25, 8,857.69 and 3,586.28

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Solution

The fourth proportional to 6,419.25, 8,857.69 and 3,586.28 is: 4,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 8,857.69 = 3,586.28 : x
  2. Step 2: Convert to fraction form
    6,419.25/8,857.69 = 3,586.28/x
  3. Step 3: Cross multiply
    6,419.25x = 8,857.69 × 3,586.28
  4. Step 4: Simplify right side
    6,419.25x = 31,766,156.49
  5. Step 5: Solve for x
    x = 31,766,156.49/6,419.25
  6. Step 6: Final answer
    x = 4,948.58

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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.