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Finding the Fourth Proportional to 4,074.36, 6,133.65 and 3,651

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Solution

The fourth proportional to 4,074.36, 6,133.65 and 3,651 is: 5,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.36 : 6,133.65 = 3,651 : x
  2. Step 2: Convert to fraction form
    4,074.36/6,133.65 = 3,651/x
  3. Step 3: Cross multiply
    4,074.36x = 6,133.65 × 3,651
  4. Step 4: Simplify right side
    4,074.36x = 22,393,956.15
  5. Step 5: Solve for x
    x = 22,393,956.15/4,074.36
  6. Step 6: Final answer
    x = 5,496.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.