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Finding the Fourth Proportional to 6,419.56, 8,858.76 and 3,586.90

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Solution

The fourth proportional to 6,419.56, 8,858.76 and 3,586.90 is: 4,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.56 : 8,858.76 = 3,586.90 : x
  2. Step 2: Convert to fraction form
    6,419.56/8,858.76 = 3,586.90/x
  3. Step 3: Cross multiply
    6,419.56x = 8,858.76 × 3,586.90
  4. Step 4: Simplify right side
    6,419.56x = 31,775,486.24
  5. Step 5: Solve for x
    x = 31,775,486.24/6,419.56
  6. Step 6: Final answer
    x = 4,949.79

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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.