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Finding the Fourth Proportional to 4,770.70, 6,568.90 and 4,140.11

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Solution

The fourth proportional to 4,770.70, 6,568.90 and 4,140.11 is: 5,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.70 : 6,568.90 = 4,140.11 : x
  2. Step 2: Convert to fraction form
    4,770.70/6,568.90 = 4,140.11/x
  3. Step 3: Cross multiply
    4,770.70x = 6,568.90 × 4,140.11
  4. Step 4: Simplify right side
    4,770.70x = 27,195,974.65
  5. Step 5: Solve for x
    x = 27,195,974.65/4,770.70
  6. Step 6: Final answer
    x = 5,700.63

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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.