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Finding the Fourth Proportional to 3,572.60, 5,361 and 1,725.62

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Solution

The fourth proportional to 3,572.60, 5,361 and 1,725.62 is: 2,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.60 : 5,361 = 1,725.62 : x
  2. Step 2: Convert to fraction form
    3,572.60/5,361 = 1,725.62/x
  3. Step 3: Cross multiply
    3,572.60x = 5,361 × 1,725.62
  4. Step 4: Simplify right side
    3,572.60x = 9,251,022.02
  5. Step 5: Solve for x
    x = 9,251,022.02/3,572.60
  6. Step 6: Final answer
    x = 2,589.44

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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.