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Finding the Fourth Proportional to 5,193.60, 7,169.20 and 3,516

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Solution

The fourth proportional to 5,193.60, 7,169.20 and 3,516 is: 4,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.60 : 7,169.20 = 3,516 : x
  2. Step 2: Convert to fraction form
    5,193.60/7,169.20 = 3,516/x
  3. Step 3: Cross multiply
    5,193.60x = 7,169.20 × 3,516
  4. Step 4: Simplify right side
    5,193.60x = 25,206,907.20
  5. Step 5: Solve for x
    x = 25,206,907.20/5,193.60
  6. Step 6: Final answer
    x = 4,853.46

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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.