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Finding the Fourth Proportional to 3,189.42, 4,776.84 and 2,868.66

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Solution

The fourth proportional to 3,189.42, 4,776.84 and 2,868.66 is: 4,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.42 : 4,776.84 = 2,868.66 : x
  2. Step 2: Convert to fraction form
    3,189.42/4,776.84 = 2,868.66/x
  3. Step 3: Cross multiply
    3,189.42x = 4,776.84 × 2,868.66
  4. Step 4: Simplify right side
    3,189.42x = 13,703,129.83
  5. Step 5: Solve for x
    x = 13,703,129.83/3,189.42
  6. Step 6: Final answer
    x = 4,296.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.