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Finding the Fourth Proportional to 5,297.16, 7,944.96 and 1,401.84

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Solution

The fourth proportional to 5,297.16, 7,944.96 and 1,401.84 is: 2,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.16 : 7,944.96 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    5,297.16/7,944.96 = 1,401.84/x
  3. Step 3: Cross multiply
    5,297.16x = 7,944.96 × 1,401.84
  4. Step 4: Simplify right side
    5,297.16x = 11,137,562.73
  5. Step 5: Solve for x
    x = 11,137,562.73/5,297.16
  6. Step 6: Final answer
    x = 2,102.55

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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.