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Finding the Fourth Proportional to 3,964.09, 5,938.46 and 3,050.17

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Solution

The fourth proportional to 3,964.09, 5,938.46 and 3,050.17 is: 4,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.09 : 5,938.46 = 3,050.17 : x
  2. Step 2: Convert to fraction form
    3,964.09/5,938.46 = 3,050.17/x
  3. Step 3: Cross multiply
    3,964.09x = 5,938.46 × 3,050.17
  4. Step 4: Simplify right side
    3,964.09x = 18,113,297.29
  5. Step 5: Solve for x
    x = 18,113,297.29/3,964.09
  6. Step 6: Final answer
    x = 4,569.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.