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Finding the Fourth Proportional to 3,072.53, 4,230.02 and 2,574.38

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Solution

The fourth proportional to 3,072.53, 4,230.02 and 2,574.38 is: 3,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.53 : 4,230.02 = 2,574.38 : x
  2. Step 2: Convert to fraction form
    3,072.53/4,230.02 = 2,574.38/x
  3. Step 3: Cross multiply
    3,072.53x = 4,230.02 × 2,574.38
  4. Step 4: Simplify right side
    3,072.53x = 10,889,695.90
  5. Step 5: Solve for x
    x = 10,889,695.90/3,072.53
  6. Step 6: Final answer
    x = 3,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.