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Finding the Fourth Proportional to 3,643.70, 5,028.26 and 2,071.78

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Solution

The fourth proportional to 3,643.70, 5,028.26 and 2,071.78 is: 2,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.70 : 5,028.26 = 2,071.78 : x
  2. Step 2: Convert to fraction form
    3,643.70/5,028.26 = 2,071.78/x
  3. Step 3: Cross multiply
    3,643.70x = 5,028.26 × 2,071.78
  4. Step 4: Simplify right side
    3,643.70x = 10,417,425.57
  5. Step 5: Solve for x
    x = 10,417,425.57/3,643.70
  6. Step 6: Final answer
    x = 2,859.03

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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.