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Finding the Fourth Proportional to 4,340.38, 6,518.46 and 4,164.20

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Solution

The fourth proportional to 4,340.38, 6,518.46 and 4,164.20 is: 6,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.38 : 6,518.46 = 4,164.20 : x
  2. Step 2: Convert to fraction form
    4,340.38/6,518.46 = 4,164.20/x
  3. Step 3: Cross multiply
    4,340.38x = 6,518.46 × 4,164.20
  4. Step 4: Simplify right side
    4,340.38x = 27,144,150.31
  5. Step 5: Solve for x
    x = 27,144,150.31/4,340.38
  6. Step 6: Final answer
    x = 6,253.87

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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.