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Finding the Fourth Proportional to 6,079, 8,389.04 and 3,284.52

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Solution

The fourth proportional to 6,079, 8,389.04 and 3,284.52 is: 4,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079 : 8,389.04 = 3,284.52 : x
  2. Step 2: Convert to fraction form
    6,079/8,389.04 = 3,284.52/x
  3. Step 3: Cross multiply
    6,079x = 8,389.04 × 3,284.52
  4. Step 4: Simplify right side
    6,079x = 27,553,969.66
  5. Step 5: Solve for x
    x = 27,553,969.66/6,079
  6. Step 6: Final answer
    x = 4,532.65

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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.