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Finding the Fourth Proportional to 5,347.92, 8,021.90 and 1,452.33

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Solution

The fourth proportional to 5,347.92, 8,021.90 and 1,452.33 is: 2,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.92 : 8,021.90 = 1,452.33 : x
  2. Step 2: Convert to fraction form
    5,347.92/8,021.90 = 1,452.33/x
  3. Step 3: Cross multiply
    5,347.92x = 8,021.90 × 1,452.33
  4. Step 4: Simplify right side
    5,347.92x = 11,650,449.66
  5. Step 5: Solve for x
    x = 11,650,449.66/5,347.92
  6. Step 6: Final answer
    x = 2,178.50

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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.