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Finding the Fourth Proportional to 3,705.47, 5,549.97 and 2,662.34

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Solution

The fourth proportional to 3,705.47, 5,549.97 and 2,662.34 is: 3,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.47 : 5,549.97 = 2,662.34 : x
  2. Step 2: Convert to fraction form
    3,705.47/5,549.97 = 2,662.34/x
  3. Step 3: Cross multiply
    3,705.47x = 5,549.97 × 2,662.34
  4. Step 4: Simplify right side
    3,705.47x = 14,775,879.38
  5. Step 5: Solve for x
    x = 14,775,879.38/3,705.47
  6. Step 6: Final answer
    x = 3,987.59

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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.