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Finding the Fourth Proportional to 3,643.58, 5,019.36 and 2,897.30

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Solution

The fourth proportional to 3,643.58, 5,019.36 and 2,897.30 is: 3,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.58 : 5,019.36 = 2,897.30 : x
  2. Step 2: Convert to fraction form
    3,643.58/5,019.36 = 2,897.30/x
  3. Step 3: Cross multiply
    3,643.58x = 5,019.36 × 2,897.30
  4. Step 4: Simplify right side
    3,643.58x = 14,542,591.73
  5. Step 5: Solve for x
    x = 14,542,591.73/3,643.58
  6. Step 6: Final answer
    x = 3,991.29

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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.