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Finding the Fourth Proportional to 5,801, 8,005.38 and 3,317

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Solution

The fourth proportional to 5,801, 8,005.38 and 3,317 is: 4,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801 : 8,005.38 = 3,317 : x
  2. Step 2: Convert to fraction form
    5,801/8,005.38 = 3,317/x
  3. Step 3: Cross multiply
    5,801x = 8,005.38 × 3,317
  4. Step 4: Simplify right side
    5,801x = 26,553,845.46
  5. Step 5: Solve for x
    x = 26,553,845.46/5,801
  6. Step 6: Final answer
    x = 4,577.46

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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.