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Finding the Fourth Proportional to 3,777.96, 5,660.54 and 2,314.06

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Solution

The fourth proportional to 3,777.96, 5,660.54 and 2,314.06 is: 3,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.96 : 5,660.54 = 2,314.06 : x
  2. Step 2: Convert to fraction form
    3,777.96/5,660.54 = 2,314.06/x
  3. Step 3: Cross multiply
    3,777.96x = 5,660.54 × 2,314.06
  4. Step 4: Simplify right side
    3,777.96x = 13,098,820.83
  5. Step 5: Solve for x
    x = 13,098,820.83/3,777.96
  6. Step 6: Final answer
    x = 3,467.17

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