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Finding the Fourth Proportional to 4,145.65, 6,217.93 and 1,371.63

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Solution

The fourth proportional to 4,145.65, 6,217.93 and 1,371.63 is: 2,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.65 : 6,217.93 = 1,371.63 : x
  2. Step 2: Convert to fraction form
    4,145.65/6,217.93 = 1,371.63/x
  3. Step 3: Cross multiply
    4,145.65x = 6,217.93 × 1,371.63
  4. Step 4: Simplify right side
    4,145.65x = 8,528,724.36
  5. Step 5: Solve for x
    x = 8,528,724.36/4,145.65
  6. Step 6: Final answer
    x = 2,057.27

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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.