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Finding the Fourth Proportional to 3,997.58, 5,513.90 and 3,156.93

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Solution

The fourth proportional to 3,997.58, 5,513.90 and 3,156.93 is: 4,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.58 : 5,513.90 = 3,156.93 : x
  2. Step 2: Convert to fraction form
    3,997.58/5,513.90 = 3,156.93/x
  3. Step 3: Cross multiply
    3,997.58x = 5,513.90 × 3,156.93
  4. Step 4: Simplify right side
    3,997.58x = 17,406,980.54
  5. Step 5: Solve for x
    x = 17,406,980.54/3,997.58
  6. Step 6: Final answer
    x = 4,354.38

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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.