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Finding the Fourth Proportional to 6,419.47, 8,858.01 and 3,586.42

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Solution

The fourth proportional to 6,419.47, 8,858.01 and 3,586.42 is: 4,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.47 : 8,858.01 = 3,586.42 : x
  2. Step 2: Convert to fraction form
    6,419.47/8,858.01 = 3,586.42/x
  3. Step 3: Cross multiply
    6,419.47x = 8,858.01 × 3,586.42
  4. Step 4: Simplify right side
    6,419.47x = 31,768,544.22
  5. Step 5: Solve for x
    x = 31,768,544.22/6,419.47
  6. Step 6: Final answer
    x = 4,948.78

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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.