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Finding the Fourth Proportional to 6,061, 8,364 and 3,824.08

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Solution

The fourth proportional to 6,061, 8,364 and 3,824.08 is: 5,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061 : 8,364 = 3,824.08 : x
  2. Step 2: Convert to fraction form
    6,061/8,364 = 3,824.08/x
  3. Step 3: Cross multiply
    6,061x = 8,364 × 3,824.08
  4. Step 4: Simplify right side
    6,061x = 31,984,605.12
  5. Step 5: Solve for x
    x = 31,984,605.12/6,061
  6. Step 6: Final answer
    x = 5,277.12

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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.