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Finding the Fourth Proportional to 6,419.22, 8,857.88 and 3,586.36

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Solution

The fourth proportional to 6,419.22, 8,857.88 and 3,586.36 is: 4,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.22 : 8,857.88 = 3,586.36 : x
  2. Step 2: Convert to fraction form
    6,419.22/8,857.88 = 3,586.36/x
  3. Step 3: Cross multiply
    6,419.22x = 8,857.88 × 3,586.36
  4. Step 4: Simplify right side
    6,419.22x = 31,767,546.52
  5. Step 5: Solve for x
    x = 31,767,546.52/6,419.22
  6. Step 6: Final answer
    x = 4,948.82

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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.