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Finding the Fourth Proportional to 4,141.68, 6,214.14 and 1,544.01

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Solution

The fourth proportional to 4,141.68, 6,214.14 and 1,544.01 is: 2,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.68 : 6,214.14 = 1,544.01 : x
  2. Step 2: Convert to fraction form
    4,141.68/6,214.14 = 1,544.01/x
  3. Step 3: Cross multiply
    4,141.68x = 6,214.14 × 1,544.01
  4. Step 4: Simplify right side
    4,141.68x = 9,594,694.30
  5. Step 5: Solve for x
    x = 9,594,694.30/4,141.68
  6. Step 6: Final answer
    x = 2,316.62

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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.