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Finding the Fourth Proportional to 3,384.32, 4,670.40 and 1,892.32

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Solution

The fourth proportional to 3,384.32, 4,670.40 and 1,892.32 is: 2,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.32 : 4,670.40 = 1,892.32 : x
  2. Step 2: Convert to fraction form
    3,384.32/4,670.40 = 1,892.32/x
  3. Step 3: Cross multiply
    3,384.32x = 4,670.40 × 1,892.32
  4. Step 4: Simplify right side
    3,384.32x = 8,837,891.33
  5. Step 5: Solve for x
    x = 8,837,891.33/3,384.32
  6. Step 6: Final answer
    x = 2,611.42

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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.