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Finding the Fourth Proportional to 5,682.02, 7,841.21 and 3,697.92

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Solution

The fourth proportional to 5,682.02, 7,841.21 and 3,697.92 is: 5,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.02 : 7,841.21 = 3,697.92 : x
  2. Step 2: Convert to fraction form
    5,682.02/7,841.21 = 3,697.92/x
  3. Step 3: Cross multiply
    5,682.02x = 7,841.21 × 3,697.92
  4. Step 4: Simplify right side
    5,682.02x = 28,996,148.79
  5. Step 5: Solve for x
    x = 28,996,148.79/5,682.02
  6. Step 6: Final answer
    x = 5,103.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.