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Finding the Fourth Proportional to 3,663.65, 5,056.29 and 2,092.07

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Solution

The fourth proportional to 3,663.65, 5,056.29 and 2,092.07 is: 2,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.65 : 5,056.29 = 2,092.07 : x
  2. Step 2: Convert to fraction form
    3,663.65/5,056.29 = 2,092.07/x
  3. Step 3: Cross multiply
    3,663.65x = 5,056.29 × 2,092.07
  4. Step 4: Simplify right side
    3,663.65x = 10,578,087.34
  5. Step 5: Solve for x
    x = 10,578,087.34/3,663.65
  6. Step 6: Final answer
    x = 2,887.31

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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.