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Finding the Fourth Proportional to 3,705.56, 5,557.93 and 932.23

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Solution

The fourth proportional to 3,705.56, 5,557.93 and 932.23 is: 1,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.56 : 5,557.93 = 932.23 : x
  2. Step 2: Convert to fraction form
    3,705.56/5,557.93 = 932.23/x
  3. Step 3: Cross multiply
    3,705.56x = 5,557.93 × 932.23
  4. Step 4: Simplify right side
    3,705.56x = 5,181,293.27
  5. Step 5: Solve for x
    x = 5,181,293.27/3,705.56
  6. Step 6: Final answer
    x = 1,398.25

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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.