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Finding the Fourth Proportional to 5,798.66, 8,003.01 and 3,441.38

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Solution

The fourth proportional to 5,798.66, 8,003.01 and 3,441.38 is: 4,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.66 : 8,003.01 = 3,441.38 : x
  2. Step 2: Convert to fraction form
    5,798.66/8,003.01 = 3,441.38/x
  3. Step 3: Cross multiply
    5,798.66x = 8,003.01 × 3,441.38
  4. Step 4: Simplify right side
    5,798.66x = 27,541,398.55
  5. Step 5: Solve for x
    x = 27,541,398.55/5,798.66
  6. Step 6: Final answer
    x = 4,749.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.