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Finding the Fourth Proportional to 3,715.17, 5,568.93 and 1,634.78

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Solution

The fourth proportional to 3,715.17, 5,568.93 and 1,634.78 is: 2,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.17 : 5,568.93 = 1,634.78 : x
  2. Step 2: Convert to fraction form
    3,715.17/5,568.93 = 1,634.78/x
  3. Step 3: Cross multiply
    3,715.17x = 5,568.93 × 1,634.78
  4. Step 4: Simplify right side
    3,715.17x = 9,103,984.71
  5. Step 5: Solve for x
    x = 9,103,984.71/3,715.17
  6. Step 6: Final answer
    x = 2,450.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.