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Finding the Fourth Proportional to 3,953, 5,455.62 and 2,297

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Solution

The fourth proportional to 3,953, 5,455.62 and 2,297 is: 3,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 5,455.62 = 2,297 : x
  2. Step 2: Convert to fraction form
    3,953/5,455.62 = 2,297/x
  3. Step 3: Cross multiply
    3,953x = 5,455.62 × 2,297
  4. Step 4: Simplify right side
    3,953x = 12,531,559.14
  5. Step 5: Solve for x
    x = 12,531,559.14/3,953
  6. Step 6: Final answer
    x = 3,170.14

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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.