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Finding the Fourth Proportional to 3,529.53, 5,320.82 and 3,291.71

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Solution

The fourth proportional to 3,529.53, 5,320.82 and 3,291.71 is: 4,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.53 : 5,320.82 = 3,291.71 : x
  2. Step 2: Convert to fraction form
    3,529.53/5,320.82 = 3,291.71/x
  3. Step 3: Cross multiply
    3,529.53x = 5,320.82 × 3,291.71
  4. Step 4: Simplify right side
    3,529.53x = 17,514,578.03
  5. Step 5: Solve for x
    x = 17,514,578.03/3,529.53
  6. Step 6: Final answer
    x = 4,962.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.