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Finding the Fourth Proportional to 3,384.47, 4,670.54 and 1,892.38

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Solution

The fourth proportional to 3,384.47, 4,670.54 and 1,892.38 is: 2,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.47 : 4,670.54 = 1,892.38 : x
  2. Step 2: Convert to fraction form
    3,384.47/4,670.54 = 1,892.38/x
  3. Step 3: Cross multiply
    3,384.47x = 4,670.54 × 1,892.38
  4. Step 4: Simplify right side
    3,384.47x = 8,838,436.49
  5. Step 5: Solve for x
    x = 8,838,436.49/3,384.47
  6. Step 6: Final answer
    x = 2,611.47

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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.