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Finding the Fourth Proportional to 3,531, 5,294.16 and 1,682.40

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Solution

The fourth proportional to 3,531, 5,294.16 and 1,682.40 is: 2,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531 : 5,294.16 = 1,682.40 : x
  2. Step 2: Convert to fraction form
    3,531/5,294.16 = 1,682.40/x
  3. Step 3: Cross multiply
    3,531x = 5,294.16 × 1,682.40
  4. Step 4: Simplify right side
    3,531x = 8,906,894.78
  5. Step 5: Solve for x
    x = 8,906,894.78/3,531
  6. Step 6: Final answer
    x = 2,522.49

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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.