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Finding the Fourth Proportional to 3,665.91, 5,488.53 and 2,853.69

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Solution

The fourth proportional to 3,665.91, 5,488.53 and 2,853.69 is: 4,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.91 : 5,488.53 = 2,853.69 : x
  2. Step 2: Convert to fraction form
    3,665.91/5,488.53 = 2,853.69/x
  3. Step 3: Cross multiply
    3,665.91x = 5,488.53 × 2,853.69
  4. Step 4: Simplify right side
    3,665.91x = 15,662,563.18
  5. Step 5: Solve for x
    x = 15,662,563.18/3,665.91
  6. Step 6: Final answer
    x = 4,272.49

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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.