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Finding the Fourth Proportional to 2,950.71, 4,071.83 and 2,715.63

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Solution

The fourth proportional to 2,950.71, 4,071.83 and 2,715.63 is: 3,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.71 : 4,071.83 = 2,715.63 : x
  2. Step 2: Convert to fraction form
    2,950.71/4,071.83 = 2,715.63/x
  3. Step 3: Cross multiply
    2,950.71x = 4,071.83 × 2,715.63
  4. Step 4: Simplify right side
    2,950.71x = 11,057,570.12
  5. Step 5: Solve for x
    x = 11,057,570.12/2,950.71
  6. Step 6: Final answer
    x = 3,747.43

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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.