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Finding the Fourth Proportional to 5,845.47, 8,767.89 and 1,896.93

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Solution

The fourth proportional to 5,845.47, 8,767.89 and 1,896.93 is: 2,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.47 : 8,767.89 = 1,896.93 : x
  2. Step 2: Convert to fraction form
    5,845.47/8,767.89 = 1,896.93/x
  3. Step 3: Cross multiply
    5,845.47x = 8,767.89 × 1,896.93
  4. Step 4: Simplify right side
    5,845.47x = 16,632,073.58
  5. Step 5: Solve for x
    x = 16,632,073.58/5,845.47
  6. Step 6: Final answer
    x = 2,845.29

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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.