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Finding the Fourth Proportional to 5,822.38, 8,035.10 and 3,434.00

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Solution

The fourth proportional to 5,822.38, 8,035.10 and 3,434.00 is: 4,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.38 : 8,035.10 = 3,434.00 : x
  2. Step 2: Convert to fraction form
    5,822.38/8,035.10 = 3,434.00/x
  3. Step 3: Cross multiply
    5,822.38x = 8,035.10 × 3,434.00
  4. Step 4: Simplify right side
    5,822.38x = 27,592,488.93
  5. Step 5: Solve for x
    x = 27,592,488.93/5,822.38
  6. Step 6: Final answer
    x = 4,739.04

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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.