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Finding the Fourth Proportional to 3,705.13, 5,557.56 and 1,108

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Solution

The fourth proportional to 3,705.13, 5,557.56 and 1,108 is: 1,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.13 : 5,557.56 = 1,108 : x
  2. Step 2: Convert to fraction form
    3,705.13/5,557.56 = 1,108/x
  3. Step 3: Cross multiply
    3,705.13x = 5,557.56 × 1,108
  4. Step 4: Simplify right side
    3,705.13x = 6,157,776.48
  5. Step 5: Solve for x
    x = 6,157,776.48/3,705.13
  6. Step 6: Final answer
    x = 1,661.96

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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.