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Finding the Fourth Proportional to 3,663.56, 5,050.26 and 2,777.76

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Solution

The fourth proportional to 3,663.56, 5,050.26 and 2,777.76 is: 3,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.56 : 5,050.26 = 2,777.76 : x
  2. Step 2: Convert to fraction form
    3,663.56/5,050.26 = 2,777.76/x
  3. Step 3: Cross multiply
    3,663.56x = 5,050.26 × 2,777.76
  4. Step 4: Simplify right side
    3,663.56x = 14,028,410.22
  5. Step 5: Solve for x
    x = 14,028,410.22/3,663.56
  6. Step 6: Final answer
    x = 3,829.17

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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.