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Finding the Fourth Proportional to 4,764.82, 7,142.50 and 2,261.62

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Solution

The fourth proportional to 4,764.82, 7,142.50 and 2,261.62 is: 3,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.82 : 7,142.50 = 2,261.62 : x
  2. Step 2: Convert to fraction form
    4,764.82/7,142.50 = 2,261.62/x
  3. Step 3: Cross multiply
    4,764.82x = 7,142.50 × 2,261.62
  4. Step 4: Simplify right side
    4,764.82x = 16,153,620.85
  5. Step 5: Solve for x
    x = 16,153,620.85/4,764.82
  6. Step 6: Final answer
    x = 3,390.18

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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.