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Finding the Fourth Proportional to 3,820.47, 5,728.82 and 1,354.92

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Solution

The fourth proportional to 3,820.47, 5,728.82 and 1,354.92 is: 2,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.47 : 5,728.82 = 1,354.92 : x
  2. Step 2: Convert to fraction form
    3,820.47/5,728.82 = 1,354.92/x
  3. Step 3: Cross multiply
    3,820.47x = 5,728.82 × 1,354.92
  4. Step 4: Simplify right side
    3,820.47x = 7,762,086.02
  5. Step 5: Solve for x
    x = 7,762,086.02/3,820.47
  6. Step 6: Final answer
    x = 2,031.71

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