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Finding the Fourth Proportional to 5,531.88, 7,633.99 and 3,047.88

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Solution

The fourth proportional to 5,531.88, 7,633.99 and 3,047.88 is: 4,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.88 : 7,633.99 = 3,047.88 : x
  2. Step 2: Convert to fraction form
    5,531.88/7,633.99 = 3,047.88/x
  3. Step 3: Cross multiply
    5,531.88x = 7,633.99 × 3,047.88
  4. Step 4: Simplify right side
    5,531.88x = 23,267,485.44
  5. Step 5: Solve for x
    x = 23,267,485.44/5,531.88
  6. Step 6: Final answer
    x = 4,206.07

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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.