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Finding the Fourth Proportional to 4,095.88, 5,652.30 and 2,232.88

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Solution

The fourth proportional to 4,095.88, 5,652.30 and 2,232.88 is: 3,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.88 : 5,652.30 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    4,095.88/5,652.30 = 2,232.88/x
  3. Step 3: Cross multiply
    4,095.88x = 5,652.30 × 2,232.88
  4. Step 4: Simplify right side
    4,095.88x = 12,620,907.62
  5. Step 5: Solve for x
    x = 12,620,907.62/4,095.88
  6. Step 6: Final answer
    x = 3,081.37

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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.