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Finding the Fourth Proportional to 5,065.28, 6,990.16 and 2,969.44

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Solution

The fourth proportional to 5,065.28, 6,990.16 and 2,969.44 is: 4,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.28 : 6,990.16 = 2,969.44 : x
  2. Step 2: Convert to fraction form
    5,065.28/6,990.16 = 2,969.44/x
  3. Step 3: Cross multiply
    5,065.28x = 6,990.16 × 2,969.44
  4. Step 4: Simplify right side
    5,065.28x = 20,756,860.71
  5. Step 5: Solve for x
    x = 20,756,860.71/5,065.28
  6. Step 6: Final answer
    x = 4,097.87

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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.