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Finding the Fourth Proportional to 5,534.70, 7,637.79 and 3,016.84

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Solution

The fourth proportional to 5,534.70, 7,637.79 and 3,016.84 is: 4,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.70 : 7,637.79 = 3,016.84 : x
  2. Step 2: Convert to fraction form
    5,534.70/7,637.79 = 3,016.84/x
  3. Step 3: Cross multiply
    5,534.70x = 7,637.79 × 3,016.84
  4. Step 4: Simplify right side
    5,534.70x = 23,041,990.38
  5. Step 5: Solve for x
    x = 23,041,990.38/5,534.70
  6. Step 6: Final answer
    x = 4,163.19

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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.