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Finding the Fourth Proportional to 5,690.33, 8,531.84 and 2,402.54

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Solution

The fourth proportional to 5,690.33, 8,531.84 and 2,402.54 is: 3,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.33 : 8,531.84 = 2,402.54 : x
  2. Step 2: Convert to fraction form
    5,690.33/8,531.84 = 2,402.54/x
  3. Step 3: Cross multiply
    5,690.33x = 8,531.84 × 2,402.54
  4. Step 4: Simplify right side
    5,690.33x = 20,498,086.87
  5. Step 5: Solve for x
    x = 20,498,086.87/5,690.33
  6. Step 6: Final answer
    x = 3,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.