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Finding the Fourth Proportional to 6,419.21, 8,858.41 and 3,586.63

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Solution

The fourth proportional to 6,419.21, 8,858.41 and 3,586.63 is: 4,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.21 : 8,858.41 = 3,586.63 : x
  2. Step 2: Convert to fraction form
    6,419.21/8,858.41 = 3,586.63/x
  3. Step 3: Cross multiply
    6,419.21x = 8,858.41 × 3,586.63
  4. Step 4: Simplify right side
    6,419.21x = 31,771,839.06
  5. Step 5: Solve for x
    x = 31,771,839.06/6,419.21
  6. Step 6: Final answer
    x = 4,949.49

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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.