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Finding the Fourth Proportional to 5,751.78, 7,926.93 and 4,177.14

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Solution

The fourth proportional to 5,751.78, 7,926.93 and 4,177.14 is: 5,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.78 : 7,926.93 = 4,177.14 : x
  2. Step 2: Convert to fraction form
    5,751.78/7,926.93 = 4,177.14/x
  3. Step 3: Cross multiply
    5,751.78x = 7,926.93 × 4,177.14
  4. Step 4: Simplify right side
    5,751.78x = 33,111,896.38
  5. Step 5: Solve for x
    x = 33,111,896.38/5,751.78
  6. Step 6: Final answer
    x = 5,756.81

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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.