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Finding the Fourth Proportional to 3,764.78, 5,189.98 and 2,642.24

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Solution

The fourth proportional to 3,764.78, 5,189.98 and 2,642.24 is: 3,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.78 : 5,189.98 = 2,642.24 : x
  2. Step 2: Convert to fraction form
    3,764.78/5,189.98 = 2,642.24/x
  3. Step 3: Cross multiply
    3,764.78x = 5,189.98 × 2,642.24
  4. Step 4: Simplify right side
    3,764.78x = 13,713,172.76
  5. Step 5: Solve for x
    x = 13,713,172.76/3,764.78
  6. Step 6: Final answer
    x = 3,642.49

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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.