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Finding the Fourth Proportional to 3,551.69, 4,900.32 and 2,292.77

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Solution

The fourth proportional to 3,551.69, 4,900.32 and 2,292.77 is: 3,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.69 : 4,900.32 = 2,292.77 : x
  2. Step 2: Convert to fraction form
    3,551.69/4,900.32 = 2,292.77/x
  3. Step 3: Cross multiply
    3,551.69x = 4,900.32 × 2,292.77
  4. Step 4: Simplify right side
    3,551.69x = 11,235,282.18
  5. Step 5: Solve for x
    x = 11,235,282.18/3,551.69
  6. Step 6: Final answer
    x = 3,163.37

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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.