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Finding the Fourth Proportional to 5,406.79, 7,461.42 and 3,016.97

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Solution

The fourth proportional to 5,406.79, 7,461.42 and 3,016.97 is: 4,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.79 : 7,461.42 = 3,016.97 : x
  2. Step 2: Convert to fraction form
    5,406.79/7,461.42 = 3,016.97/x
  3. Step 3: Cross multiply
    5,406.79x = 7,461.42 × 3,016.97
  4. Step 4: Simplify right side
    5,406.79x = 22,510,910.26
  5. Step 5: Solve for x
    x = 22,510,910.26/5,406.79
  6. Step 6: Final answer
    x = 4,163.45

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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.