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Finding the Fourth Proportional to 4,972.87, 7,452.58 and 1,893.19

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Solution

The fourth proportional to 4,972.87, 7,452.58 and 1,893.19 is: 2,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.87 : 7,452.58 = 1,893.19 : x
  2. Step 2: Convert to fraction form
    4,972.87/7,452.58 = 1,893.19/x
  3. Step 3: Cross multiply
    4,972.87x = 7,452.58 × 1,893.19
  4. Step 4: Simplify right side
    4,972.87x = 14,109,149.93
  5. Step 5: Solve for x
    x = 14,109,149.93/4,972.87
  6. Step 6: Final answer
    x = 2,837.22

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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.