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Finding the Fourth Proportional to 5,649.33, 7,795.83 and 3,097.14

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Solution

The fourth proportional to 5,649.33, 7,795.83 and 3,097.14 is: 4,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.33 : 7,795.83 = 3,097.14 : x
  2. Step 2: Convert to fraction form
    5,649.33/7,795.83 = 3,097.14/x
  3. Step 3: Cross multiply
    5,649.33x = 7,795.83 × 3,097.14
  4. Step 4: Simplify right side
    5,649.33x = 24,144,776.93
  5. Step 5: Solve for x
    x = 24,144,776.93/5,649.33
  6. Step 6: Final answer
    x = 4,273.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.