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Finding the Fourth Proportional to 6,061, 8,366.34 and 3,577

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Solution

The fourth proportional to 6,061, 8,366.34 and 3,577 is: 4,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061 : 8,366.34 = 3,577 : x
  2. Step 2: Convert to fraction form
    6,061/8,366.34 = 3,577/x
  3. Step 3: Cross multiply
    6,061x = 8,366.34 × 3,577
  4. Step 4: Simplify right side
    6,061x = 29,926,398.18
  5. Step 5: Solve for x
    x = 29,926,398.18/6,061
  6. Step 6: Final answer
    x = 4,937.53

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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.