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Finding the Fourth Proportional to 4,991.84, 7,487.74 and 1,293.76

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Solution

The fourth proportional to 4,991.84, 7,487.74 and 1,293.76 is: 1,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.84 : 7,487.74 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    4,991.84/7,487.74 = 1,293.76/x
  3. Step 3: Cross multiply
    4,991.84x = 7,487.74 × 1,293.76
  4. Step 4: Simplify right side
    4,991.84x = 9,687,338.50
  5. Step 5: Solve for x
    x = 9,687,338.50/4,991.84
  6. Step 6: Final answer
    x = 1,940.63

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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.