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Finding the Fourth Proportional to 3,851.82, 5,749.87 and 3,384.74

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Solution

The fourth proportional to 3,851.82, 5,749.87 and 3,384.74 is: 5,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.82 : 5,749.87 = 3,384.74 : x
  2. Step 2: Convert to fraction form
    3,851.82/5,749.87 = 3,384.74/x
  3. Step 3: Cross multiply
    3,851.82x = 5,749.87 × 3,384.74
  4. Step 4: Simplify right side
    3,851.82x = 19,461,777.77
  5. Step 5: Solve for x
    x = 19,461,777.77/3,851.82
  6. Step 6: Final answer
    x = 5,052.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.