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Finding the Fourth Proportional to 5,066.64, 6,992.49 and 2,829.29

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Solution

The fourth proportional to 5,066.64, 6,992.49 and 2,829.29 is: 3,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.64 : 6,992.49 = 2,829.29 : x
  2. Step 2: Convert to fraction form
    5,066.64/6,992.49 = 2,829.29/x
  3. Step 3: Cross multiply
    5,066.64x = 6,992.49 × 2,829.29
  4. Step 4: Simplify right side
    5,066.64x = 19,783,747.07
  5. Step 5: Solve for x
    x = 19,783,747.07/5,066.64
  6. Step 6: Final answer
    x = 3,904.71

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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.