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Finding the Fourth Proportional to 4,974.40, 6,863.43 and 3,203.88

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Solution

The fourth proportional to 4,974.40, 6,863.43 and 3,203.88 is: 4,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.40 : 6,863.43 = 3,203.88 : x
  2. Step 2: Convert to fraction form
    4,974.40/6,863.43 = 3,203.88/x
  3. Step 3: Cross multiply
    4,974.40x = 6,863.43 × 3,203.88
  4. Step 4: Simplify right side
    4,974.40x = 21,989,606.11
  5. Step 5: Solve for x
    x = 21,989,606.11/4,974.40
  6. Step 6: Final answer
    x = 4,420.55

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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.