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Finding the Fourth Proportional to 4,092.64, 6,141.12 and 1,900.78

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Solution

The fourth proportional to 4,092.64, 6,141.12 and 1,900.78 is: 2,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.64 : 6,141.12 = 1,900.78 : x
  2. Step 2: Convert to fraction form
    4,092.64/6,141.12 = 1,900.78/x
  3. Step 3: Cross multiply
    4,092.64x = 6,141.12 × 1,900.78
  4. Step 4: Simplify right side
    4,092.64x = 11,672,918.07
  5. Step 5: Solve for x
    x = 11,672,918.07/4,092.64
  6. Step 6: Final answer
    x = 2,852.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.