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Finding the Fourth Proportional to 3,883.14, 5,824.64 and 961.45

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Solution

The fourth proportional to 3,883.14, 5,824.64 and 961.45 is: 1,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.14 : 5,824.64 = 961.45 : x
  2. Step 2: Convert to fraction form
    3,883.14/5,824.64 = 961.45/x
  3. Step 3: Cross multiply
    3,883.14x = 5,824.64 × 961.45
  4. Step 4: Simplify right side
    3,883.14x = 5,600,080.76
  5. Step 5: Solve for x
    x = 5,600,080.76/3,883.14
  6. Step 6: Final answer
    x = 1,442.15

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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.