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Finding the Fourth Proportional to 3,643, 5,027.34 and 2,071.20

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Solution

The fourth proportional to 3,643, 5,027.34 and 2,071.20 is: 2,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643 : 5,027.34 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    3,643/5,027.34 = 2,071.20/x
  3. Step 3: Cross multiply
    3,643x = 5,027.34 × 2,071.20
  4. Step 4: Simplify right side
    3,643x = 10,412,626.61
  5. Step 5: Solve for x
    x = 10,412,626.61/3,643
  6. Step 6: Final answer
    x = 2,858.26

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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.