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Finding the Fourth Proportional to 3,749.71, 5,174.53 and 2,071.02

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Solution

The fourth proportional to 3,749.71, 5,174.53 and 2,071.02 is: 2,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.71 : 5,174.53 = 2,071.02 : x
  2. Step 2: Convert to fraction form
    3,749.71/5,174.53 = 2,071.02/x
  3. Step 3: Cross multiply
    3,749.71x = 5,174.53 × 2,071.02
  4. Step 4: Simplify right side
    3,749.71x = 10,716,544.77
  5. Step 5: Solve for x
    x = 10,716,544.77/3,749.71
  6. Step 6: Final answer
    x = 2,857.97

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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.