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Finding the Fourth Proportional to 5,059.32, 7,589.10 and 1,361.88

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Solution

The fourth proportional to 5,059.32, 7,589.10 and 1,361.88 is: 2,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.32 : 7,589.10 = 1,361.88 : x
  2. Step 2: Convert to fraction form
    5,059.32/7,589.10 = 1,361.88/x
  3. Step 3: Cross multiply
    5,059.32x = 7,589.10 × 1,361.88
  4. Step 4: Simplify right side
    5,059.32x = 10,335,443.51
  5. Step 5: Solve for x
    x = 10,335,443.51/5,059.32
  6. Step 6: Final answer
    x = 2,042.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.