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Finding the Fourth Proportional to 3,522.41, 5,310 and 3,284.58

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Solution

The fourth proportional to 3,522.41, 5,310 and 3,284.58 is: 4,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.41 : 5,310 = 3,284.58 : x
  2. Step 2: Convert to fraction form
    3,522.41/5,310 = 3,284.58/x
  3. Step 3: Cross multiply
    3,522.41x = 5,310 × 3,284.58
  4. Step 4: Simplify right side
    3,522.41x = 17,441,119.80
  5. Step 5: Solve for x
    x = 17,441,119.80/3,522.41
  6. Step 6: Final answer
    x = 4,951.48

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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.