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Finding the Fourth Proportional to 3,531.96, 5,300.67 and 1,889.88

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Solution

The fourth proportional to 3,531.96, 5,300.67 and 1,889.88 is: 2,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.96 : 5,300.67 = 1,889.88 : x
  2. Step 2: Convert to fraction form
    3,531.96/5,300.67 = 1,889.88/x
  3. Step 3: Cross multiply
    3,531.96x = 5,300.67 × 1,889.88
  4. Step 4: Simplify right side
    3,531.96x = 10,017,630.22
  5. Step 5: Solve for x
    x = 10,017,630.22/3,531.96
  6. Step 6: Final answer
    x = 2,836.28

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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.