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Finding the Fourth Proportional to 3,663.82, 5,056.06 and 1,985.27

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Solution

The fourth proportional to 3,663.82, 5,056.06 and 1,985.27 is: 2,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.82 : 5,056.06 = 1,985.27 : x
  2. Step 2: Convert to fraction form
    3,663.82/5,056.06 = 1,985.27/x
  3. Step 3: Cross multiply
    3,663.82x = 5,056.06 × 1,985.27
  4. Step 4: Simplify right side
    3,663.82x = 10,037,618.96
  5. Step 5: Solve for x
    x = 10,037,618.96/3,663.82
  6. Step 6: Final answer
    x = 2,739.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.