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Finding the Fourth Proportional to 5,894.18, 8,842.55 and 1,945.61

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Solution

The fourth proportional to 5,894.18, 8,842.55 and 1,945.61 is: 2,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.18 : 8,842.55 = 1,945.61 : x
  2. Step 2: Convert to fraction form
    5,894.18/8,842.55 = 1,945.61/x
  3. Step 3: Cross multiply
    5,894.18x = 8,842.55 × 1,945.61
  4. Step 4: Simplify right side
    5,894.18x = 17,204,099.76
  5. Step 5: Solve for x
    x = 17,204,099.76/5,894.18
  6. Step 6: Final answer
    x = 2,918.83

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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.