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Finding the Fourth Proportional to 3,749.68, 5,174.68 and 2,071.22

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Solution

The fourth proportional to 3,749.68, 5,174.68 and 2,071.22 is: 2,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.68 : 5,174.68 = 2,071.22 : x
  2. Step 2: Convert to fraction form
    3,749.68/5,174.68 = 2,071.22/x
  3. Step 3: Cross multiply
    3,749.68x = 5,174.68 × 2,071.22
  4. Step 4: Simplify right side
    3,749.68x = 10,717,900.71
  5. Step 5: Solve for x
    x = 10,717,900.71/3,749.68
  6. Step 6: Final answer
    x = 2,858.35

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1.5x scale

Why These Related Problems?

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