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Finding the Fourth Proportional to 3,383.10, 5,074.65 and 917.92

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Solution

The fourth proportional to 3,383.10, 5,074.65 and 917.92 is: 1,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.10 : 5,074.65 = 917.92 : x
  2. Step 2: Convert to fraction form
    3,383.10/5,074.65 = 917.92/x
  3. Step 3: Cross multiply
    3,383.10x = 5,074.65 × 917.92
  4. Step 4: Simplify right side
    3,383.10x = 4,658,129.07
  5. Step 5: Solve for x
    x = 4,658,129.07/3,383.10
  6. Step 6: Final answer
    x = 1,376.88

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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.