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Finding the Fourth Proportional to 5,973, 8,242.74 and 3,489

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Solution

The fourth proportional to 5,973, 8,242.74 and 3,489 is: 4,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973 : 8,242.74 = 3,489 : x
  2. Step 2: Convert to fraction form
    5,973/8,242.74 = 3,489/x
  3. Step 3: Cross multiply
    5,973x = 8,242.74 × 3,489
  4. Step 4: Simplify right side
    5,973x = 28,758,919.86
  5. Step 5: Solve for x
    x = 28,758,919.86/5,973
  6. Step 6: Final answer
    x = 4,814.82

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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.