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Finding the Fourth Proportional to 3,838.84, 5,297.77 and 2,266.94

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Solution

The fourth proportional to 3,838.84, 5,297.77 and 2,266.94 is: 3,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.84 : 5,297.77 = 2,266.94 : x
  2. Step 2: Convert to fraction form
    3,838.84/5,297.77 = 2,266.94/x
  3. Step 3: Cross multiply
    3,838.84x = 5,297.77 × 2,266.94
  4. Step 4: Simplify right side
    3,838.84x = 12,009,726.72
  5. Step 5: Solve for x
    x = 12,009,726.72/3,838.84
  6. Step 6: Final answer
    x = 3,128.48

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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.