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Finding the Fourth Proportional to 3,943.84, 5,442.51 and 2,175.45

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Solution

The fourth proportional to 3,943.84, 5,442.51 and 2,175.45 is: 3,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.84 : 5,442.51 = 2,175.45 : x
  2. Step 2: Convert to fraction form
    3,943.84/5,442.51 = 2,175.45/x
  3. Step 3: Cross multiply
    3,943.84x = 5,442.51 × 2,175.45
  4. Step 4: Simplify right side
    3,943.84x = 11,839,908.38
  5. Step 5: Solve for x
    x = 11,839,908.38/3,943.84
  6. Step 6: Final answer
    x = 3,002.13

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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.