Home / 4,493-6,740.76-1,896.14

Finding the Fourth Proportional to 4,493, 6,740.76 and 1,896.14

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Solution

The fourth proportional to 4,493, 6,740.76 and 1,896.14 is: 2,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493 : 6,740.76 = 1,896.14 : x
  2. Step 2: Convert to fraction form
    4,493/6,740.76 = 1,896.14/x
  3. Step 3: Cross multiply
    4,493x = 6,740.76 × 1,896.14
  4. Step 4: Simplify right side
    4,493x = 12,781,424.67
  5. Step 5: Solve for x
    x = 12,781,424.67/4,493
  6. Step 6: Final answer
    x = 2,844.74

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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.