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Finding the Fourth Proportional to 6,084, 8,397.15 and 3,431.46

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Solution

The fourth proportional to 6,084, 8,397.15 and 3,431.46 is: 4,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084 : 8,397.15 = 3,431.46 : x
  2. Step 2: Convert to fraction form
    6,084/8,397.15 = 3,431.46/x
  3. Step 3: Cross multiply
    6,084x = 8,397.15 × 3,431.46
  4. Step 4: Simplify right side
    6,084x = 28,814,467.18
  5. Step 5: Solve for x
    x = 28,814,467.18/6,084
  6. Step 6: Final answer
    x = 4,736.11

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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.