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Finding the Fourth Proportional to 4,766.18, 6,574.16 and 3,769.88

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Solution

The fourth proportional to 4,766.18, 6,574.16 and 3,769.88 is: 5,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.18 : 6,574.16 = 3,769.88 : x
  2. Step 2: Convert to fraction form
    4,766.18/6,574.16 = 3,769.88/x
  3. Step 3: Cross multiply
    4,766.18x = 6,574.16 × 3,769.88
  4. Step 4: Simplify right side
    4,766.18x = 24,783,770.85
  5. Step 5: Solve for x
    x = 24,783,770.85/4,766.18
  6. Step 6: Final answer
    x = 5,199.93

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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.