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Finding the Fourth Proportional to 3,705.35, 5,549.31 and 1,945.62

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Solution

The fourth proportional to 3,705.35, 5,549.31 and 1,945.62 is: 2,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.35 : 5,549.31 = 1,945.62 : x
  2. Step 2: Convert to fraction form
    3,705.35/5,549.31 = 1,945.62/x
  3. Step 3: Cross multiply
    3,705.35x = 5,549.31 × 1,945.62
  4. Step 4: Simplify right side
    3,705.35x = 10,796,848.52
  5. Step 5: Solve for x
    x = 10,796,848.52/3,705.35
  6. Step 6: Final answer
    x = 2,913.86

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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.