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Finding the Fourth Proportional to 5,894.14, 8,842.28 and 1,945.64

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Solution

The fourth proportional to 5,894.14, 8,842.28 and 1,945.64 is: 2,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.14 : 8,842.28 = 1,945.64 : x
  2. Step 2: Convert to fraction form
    5,894.14/8,842.28 = 1,945.64/x
  3. Step 3: Cross multiply
    5,894.14x = 8,842.28 × 1,945.64
  4. Step 4: Simplify right side
    5,894.14x = 17,203,893.66
  5. Step 5: Solve for x
    x = 17,203,893.66/5,894.14
  6. Step 6: Final answer
    x = 2,918.81

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1.5x scale

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.