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Finding the Fourth Proportional to 3,749.71, 5,174.55 and 2,071.19

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Solution

The fourth proportional to 3,749.71, 5,174.55 and 2,071.19 is: 2,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.71 : 5,174.55 = 2,071.19 : x
  2. Step 2: Convert to fraction form
    3,749.71/5,174.55 = 2,071.19/x
  3. Step 3: Cross multiply
    3,749.71x = 5,174.55 × 2,071.19
  4. Step 4: Simplify right side
    3,749.71x = 10,717,476.21
  5. Step 5: Solve for x
    x = 10,717,476.21/3,749.71
  6. Step 6: Final answer
    x = 2,858.21

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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.