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Finding the Fourth Proportional to 4,651.36, 6,419.82 and 2,858.02

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Solution

The fourth proportional to 4,651.36, 6,419.82 and 2,858.02 is: 3,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.36 : 6,419.82 = 2,858.02 : x
  2. Step 2: Convert to fraction form
    4,651.36/6,419.82 = 2,858.02/x
  3. Step 3: Cross multiply
    4,651.36x = 6,419.82 × 2,858.02
  4. Step 4: Simplify right side
    4,651.36x = 18,347,973.96
  5. Step 5: Solve for x
    x = 18,347,973.96/4,651.36
  6. Step 6: Final answer
    x = 3,944.65

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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.