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Finding the Fourth Proportional to 3,642.90, 5,027.18 and 2,071.30

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Solution

The fourth proportional to 3,642.90, 5,027.18 and 2,071.30 is: 2,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.90 : 5,027.18 = 2,071.30 : x
  2. Step 2: Convert to fraction form
    3,642.90/5,027.18 = 2,071.30/x
  3. Step 3: Cross multiply
    3,642.90x = 5,027.18 × 2,071.30
  4. Step 4: Simplify right side
    3,642.90x = 10,412,797.93
  5. Step 5: Solve for x
    x = 10,412,797.93/3,642.90
  6. Step 6: Final answer
    x = 2,858.38

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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.