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Finding the Fourth Proportional to 3,458.09, 5,187.04 and 992.86

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Solution

The fourth proportional to 3,458.09, 5,187.04 and 992.86 is: 1,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.09 : 5,187.04 = 992.86 : x
  2. Step 2: Convert to fraction form
    3,458.09/5,187.04 = 992.86/x
  3. Step 3: Cross multiply
    3,458.09x = 5,187.04 × 992.86
  4. Step 4: Simplify right side
    3,458.09x = 5,149,989.08
  5. Step 5: Solve for x
    x = 5,149,989.08/3,458.09
  6. Step 6: Final answer
    x = 1,489.26

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1.5x scale

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.