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Finding the Fourth Proportional to 5,503, 7,594.26 and 3,019

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Solution

The fourth proportional to 5,503, 7,594.26 and 3,019 is: 4,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503 : 7,594.26 = 3,019 : x
  2. Step 2: Convert to fraction form
    5,503/7,594.26 = 3,019/x
  3. Step 3: Cross multiply
    5,503x = 7,594.26 × 3,019
  4. Step 4: Simplify right side
    5,503x = 22,927,070.94
  5. Step 5: Solve for x
    x = 22,927,070.94/5,503
  6. Step 6: Final answer
    x = 4,166.29

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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.