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Finding the Fourth Proportional to 5,351.70, 7,385.49 and 2,993.70

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Solution

The fourth proportional to 5,351.70, 7,385.49 and 2,993.70 is: 4,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.70 : 7,385.49 = 2,993.70 : x
  2. Step 2: Convert to fraction form
    5,351.70/7,385.49 = 2,993.70/x
  3. Step 3: Cross multiply
    5,351.70x = 7,385.49 × 2,993.70
  4. Step 4: Simplify right side
    5,351.70x = 22,109,941.41
  5. Step 5: Solve for x
    x = 22,109,941.41/5,351.70
  6. Step 6: Final answer
    x = 4,131.39

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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.