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Finding the Fourth Proportional to 3,569.70, 5,381.31 and 3,331.84

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Solution

The fourth proportional to 3,569.70, 5,381.31 and 3,331.84 is: 5,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.70 : 5,381.31 = 3,331.84 : x
  2. Step 2: Convert to fraction form
    3,569.70/5,381.31 = 3,331.84/x
  3. Step 3: Cross multiply
    3,569.70x = 5,381.31 × 3,331.84
  4. Step 4: Simplify right side
    3,569.70x = 17,929,663.91
  5. Step 5: Solve for x
    x = 17,929,663.91/3,569.70
  6. Step 6: Final answer
    x = 5,022.74

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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.