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Finding the Fourth Proportional to 5,573.09, 8,354 and 3,494.55

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Solution

The fourth proportional to 5,573.09, 8,354 and 3,494.55 is: 5,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.09 : 8,354 = 3,494.55 : x
  2. Step 2: Convert to fraction form
    5,573.09/8,354 = 3,494.55/x
  3. Step 3: Cross multiply
    5,573.09x = 8,354 × 3,494.55
  4. Step 4: Simplify right side
    5,573.09x = 29,193,470.70
  5. Step 5: Solve for x
    x = 29,193,470.70/5,573.09
  6. Step 6: Final answer
    x = 5,238.29

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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.