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Finding the Fourth Proportional to 5,049.49, 6,969.12 and 2,924.65

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Solution

The fourth proportional to 5,049.49, 6,969.12 and 2,924.65 is: 4,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.49 : 6,969.12 = 2,924.65 : x
  2. Step 2: Convert to fraction form
    5,049.49/6,969.12 = 2,924.65/x
  3. Step 3: Cross multiply
    5,049.49x = 6,969.12 × 2,924.65
  4. Step 4: Simplify right side
    5,049.49x = 20,382,236.81
  5. Step 5: Solve for x
    x = 20,382,236.81/5,049.49
  6. Step 6: Final answer
    x = 4,036.49

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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.