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Finding the Fourth Proportional to 5,509.80, 8,266.72 and 2,549.66

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Solution

The fourth proportional to 5,509.80, 8,266.72 and 2,549.66 is: 3,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.80 : 8,266.72 = 2,549.66 : x
  2. Step 2: Convert to fraction form
    5,509.80/8,266.72 = 2,549.66/x
  3. Step 3: Cross multiply
    5,509.80x = 8,266.72 × 2,549.66
  4. Step 4: Simplify right side
    5,509.80x = 21,077,325.32
  5. Step 5: Solve for x
    x = 21,077,325.32/5,509.80
  6. Step 6: Final answer
    x = 3,825.42

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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.