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Finding the Fourth Proportional to 3,384.82, 5,077.50 and 1,044.61

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Solution

The fourth proportional to 3,384.82, 5,077.50 and 1,044.61 is: 1,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.82 : 5,077.50 = 1,044.61 : x
  2. Step 2: Convert to fraction form
    3,384.82/5,077.50 = 1,044.61/x
  3. Step 3: Cross multiply
    3,384.82x = 5,077.50 × 1,044.61
  4. Step 4: Simplify right side
    3,384.82x = 5,304,007.28
  5. Step 5: Solve for x
    x = 5,304,007.28/3,384.82
  6. Step 6: Final answer
    x = 1,567.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.