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Finding the Fourth Proportional to 5,049.77, 6,969.71 and 2,954.57

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Solution

The fourth proportional to 5,049.77, 6,969.71 and 2,954.57 is: 4,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.77 : 6,969.71 = 2,954.57 : x
  2. Step 2: Convert to fraction form
    5,049.77/6,969.71 = 2,954.57/x
  3. Step 3: Cross multiply
    5,049.77x = 6,969.71 × 2,954.57
  4. Step 4: Simplify right side
    5,049.77x = 20,592,496.07
  5. Step 5: Solve for x
    x = 20,592,496.07/5,049.77
  6. Step 6: Final answer
    x = 4,077.91

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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.