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Finding the Fourth Proportional to 5,798.57, 7,997.09 and 4,034.39

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Solution

The fourth proportional to 5,798.57, 7,997.09 and 4,034.39 is: 5,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.57 : 7,997.09 = 4,034.39 : x
  2. Step 2: Convert to fraction form
    5,798.57/7,997.09 = 4,034.39/x
  3. Step 3: Cross multiply
    5,798.57x = 7,997.09 × 4,034.39
  4. Step 4: Simplify right side
    5,798.57x = 32,263,373.36
  5. Step 5: Solve for x
    x = 32,263,373.36/5,798.57
  6. Step 6: Final answer
    x = 5,564.02

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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.