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Finding the Fourth Proportional to 5,414.93, 7,473.09 and 3,057.02

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Solution

The fourth proportional to 5,414.93, 7,473.09 and 3,057.02 is: 4,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.93 : 7,473.09 = 3,057.02 : x
  2. Step 2: Convert to fraction form
    5,414.93/7,473.09 = 3,057.02/x
  3. Step 3: Cross multiply
    5,414.93x = 7,473.09 × 3,057.02
  4. Step 4: Simplify right side
    5,414.93x = 22,845,385.59
  5. Step 5: Solve for x
    x = 22,845,385.59/5,414.93
  6. Step 6: Final answer
    x = 4,218.96

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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.