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Finding the Fourth Proportional to 3,742.51, 5,165.01 and 2,149.38

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Solution

The fourth proportional to 3,742.51, 5,165.01 and 2,149.38 is: 2,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.51 : 5,165.01 = 2,149.38 : x
  2. Step 2: Convert to fraction form
    3,742.51/5,165.01 = 2,149.38/x
  3. Step 3: Cross multiply
    3,742.51x = 5,165.01 × 2,149.38
  4. Step 4: Simplify right side
    3,742.51x = 11,101,577.25
  5. Step 5: Solve for x
    x = 11,101,577.25/3,742.51
  6. Step 6: Final answer
    x = 2,966.34

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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.