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Finding the Fourth Proportional to 5,773.78, 7,966.47 and 4,182.79

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Solution

The fourth proportional to 5,773.78, 7,966.47 and 4,182.79 is: 5,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.78 : 7,966.47 = 4,182.79 : x
  2. Step 2: Convert to fraction form
    5,773.78/7,966.47 = 4,182.79/x
  3. Step 3: Cross multiply
    5,773.78x = 7,966.47 × 4,182.79
  4. Step 4: Simplify right side
    5,773.78x = 33,322,071.05
  5. Step 5: Solve for x
    x = 33,322,071.05/5,773.78
  6. Step 6: Final answer
    x = 5,771.27

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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.