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Finding the Fourth Proportional to 4,487.34, 6,731.46 and 1,716.34

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Solution

The fourth proportional to 4,487.34, 6,731.46 and 1,716.34 is: 2,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.34 : 6,731.46 = 1,716.34 : x
  2. Step 2: Convert to fraction form
    4,487.34/6,731.46 = 1,716.34/x
  3. Step 3: Cross multiply
    4,487.34x = 6,731.46 × 1,716.34
  4. Step 4: Simplify right side
    4,487.34x = 11,553,471.06
  5. Step 5: Solve for x
    x = 11,553,471.06/4,487.34
  6. Step 6: Final answer
    x = 2,574.68

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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.