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Finding the Fourth Proportional to 3,865.78, 5,798.00 and 1,091.81

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Solution

The fourth proportional to 3,865.78, 5,798.00 and 1,091.81 is: 1,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.78 : 5,798.00 = 1,091.81 : x
  2. Step 2: Convert to fraction form
    3,865.78/5,798.00 = 1,091.81/x
  3. Step 3: Cross multiply
    3,865.78x = 5,798.00 × 1,091.81
  4. Step 4: Simplify right side
    3,865.78x = 6,330,288.12
  5. Step 5: Solve for x
    x = 6,330,288.12/3,865.78
  6. Step 6: Final answer
    x = 1,637.52

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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.