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Finding the Fourth Proportional to 3,705.56, 5,559.09 and 1,514.47

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Solution

The fourth proportional to 3,705.56, 5,559.09 and 1,514.47 is: 2,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.56 : 5,559.09 = 1,514.47 : x
  2. Step 2: Convert to fraction form
    3,705.56/5,559.09 = 1,514.47/x
  3. Step 3: Cross multiply
    3,705.56x = 5,559.09 × 1,514.47
  4. Step 4: Simplify right side
    3,705.56x = 8,419,047.24
  5. Step 5: Solve for x
    x = 8,419,047.24/3,705.56
  6. Step 6: Final answer
    x = 2,272.00

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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.