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Finding the Fourth Proportional to 4,124.66, 5,692.07 and 2,261.66

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Solution

The fourth proportional to 4,124.66, 5,692.07 and 2,261.66 is: 3,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.66 : 5,692.07 = 2,261.66 : x
  2. Step 2: Convert to fraction form
    4,124.66/5,692.07 = 2,261.66/x
  3. Step 3: Cross multiply
    4,124.66x = 5,692.07 × 2,261.66
  4. Step 4: Simplify right side
    4,124.66x = 12,873,504.23
  5. Step 5: Solve for x
    x = 12,873,504.23/4,124.66
  6. Step 6: Final answer
    x = 3,121.11

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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.