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Finding the Fourth Proportional to 4,141.80, 6,213.47 and 1,368.24

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Solution

The fourth proportional to 4,141.80, 6,213.47 and 1,368.24 is: 2,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.80 : 6,213.47 = 1,368.24 : x
  2. Step 2: Convert to fraction form
    4,141.80/6,213.47 = 1,368.24/x
  3. Step 3: Cross multiply
    4,141.80x = 6,213.47 × 1,368.24
  4. Step 4: Simplify right side
    4,141.80x = 8,501,532.62
  5. Step 5: Solve for x
    x = 8,501,532.62/4,141.80
  6. Step 6: Final answer
    x = 2,052.62

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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.