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Finding the Fourth Proportional to 3,371.76, 5,058.20 and 1,522.83

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Solution

The fourth proportional to 3,371.76, 5,058.20 and 1,522.83 is: 2,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.76 : 5,058.20 = 1,522.83 : x
  2. Step 2: Convert to fraction form
    3,371.76/5,058.20 = 1,522.83/x
  3. Step 3: Cross multiply
    3,371.76x = 5,058.20 × 1,522.83
  4. Step 4: Simplify right side
    3,371.76x = 7,702,771.09
  5. Step 5: Solve for x
    x = 7,702,771.09/3,371.76
  6. Step 6: Final answer
    x = 2,284.50

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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.