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Finding the Fourth Proportional to 4,770.70, 6,585.84 and 3,179.99

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Solution

The fourth proportional to 4,770.70, 6,585.84 and 3,179.99 is: 4,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.70 : 6,585.84 = 3,179.99 : x
  2. Step 2: Convert to fraction form
    4,770.70/6,585.84 = 3,179.99/x
  3. Step 3: Cross multiply
    4,770.70x = 6,585.84 × 3,179.99
  4. Step 4: Simplify right side
    4,770.70x = 20,942,921.81
  5. Step 5: Solve for x
    x = 20,942,921.81/4,770.70
  6. Step 6: Final answer
    x = 4,389.91

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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.