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Finding the Fourth Proportional to 5,894.38, 8,841.79 and 1,945.74

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Solution

The fourth proportional to 5,894.38, 8,841.79 and 1,945.74 is: 2,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.38 : 8,841.79 = 1,945.74 : x
  2. Step 2: Convert to fraction form
    5,894.38/8,841.79 = 1,945.74/x
  3. Step 3: Cross multiply
    5,894.38x = 8,841.79 × 1,945.74
  4. Step 4: Simplify right side
    5,894.38x = 17,203,824.47
  5. Step 5: Solve for x
    x = 17,203,824.47/5,894.38
  6. Step 6: Final answer
    x = 2,918.68

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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.