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Finding the Fourth Proportional to 4,643.82, 6,409.36 and 2,876.22

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Solution

The fourth proportional to 4,643.82, 6,409.36 and 2,876.22 is: 3,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.82 : 6,409.36 = 2,876.22 : x
  2. Step 2: Convert to fraction form
    4,643.82/6,409.36 = 2,876.22/x
  3. Step 3: Cross multiply
    4,643.82x = 6,409.36 × 2,876.22
  4. Step 4: Simplify right side
    4,643.82x = 18,434,729.42
  5. Step 5: Solve for x
    x = 18,434,729.42/4,643.82
  6. Step 6: Final answer
    x = 3,969.73

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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.