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Finding the Fourth Proportional to 5,297.87, 7,946.55 and 1,966.77

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Solution

The fourth proportional to 5,297.87, 7,946.55 and 1,966.77 is: 2,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.87 : 7,946.55 = 1,966.77 : x
  2. Step 2: Convert to fraction form
    5,297.87/7,946.55 = 1,966.77/x
  3. Step 3: Cross multiply
    5,297.87x = 7,946.55 × 1,966.77
  4. Step 4: Simplify right side
    5,297.87x = 15,629,019.44
  5. Step 5: Solve for x
    x = 15,629,019.44/5,297.87
  6. Step 6: Final answer
    x = 2,950.06

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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.