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Finding the Fourth Proportional to 5,801.13, 8,006.58 and 3,283.38

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Solution

The fourth proportional to 5,801.13, 8,006.58 and 3,283.38 is: 4,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.13 : 8,006.58 = 3,283.38 : x
  2. Step 2: Convert to fraction form
    5,801.13/8,006.58 = 3,283.38/x
  3. Step 3: Cross multiply
    5,801.13x = 8,006.58 × 3,283.38
  4. Step 4: Simplify right side
    5,801.13x = 26,288,644.64
  5. Step 5: Solve for x
    x = 26,288,644.64/5,801.13
  6. Step 6: Final answer
    x = 4,531.64

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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.