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Finding the Fourth Proportional to 5,145.62, 7,717.71 and 1,635.62

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Solution

The fourth proportional to 5,145.62, 7,717.71 and 1,635.62 is: 2,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.62 : 7,717.71 = 1,635.62 : x
  2. Step 2: Convert to fraction form
    5,145.62/7,717.71 = 1,635.62/x
  3. Step 3: Cross multiply
    5,145.62x = 7,717.71 × 1,635.62
  4. Step 4: Simplify right side
    5,145.62x = 12,623,240.83
  5. Step 5: Solve for x
    x = 12,623,240.83/5,145.62
  6. Step 6: Final answer
    x = 2,453.20

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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.