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Finding the Fourth Proportional to 5,399.36, 7,451 and 3,041.46

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Solution

The fourth proportional to 5,399.36, 7,451 and 3,041.46 is: 4,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.36 : 7,451 = 3,041.46 : x
  2. Step 2: Convert to fraction form
    5,399.36/7,451 = 3,041.46/x
  3. Step 3: Cross multiply
    5,399.36x = 7,451 × 3,041.46
  4. Step 4: Simplify right side
    5,399.36x = 22,661,918.46
  5. Step 5: Solve for x
    x = 22,661,918.46/5,399.36
  6. Step 6: Final answer
    x = 4,197.15

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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.