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Finding the Fourth Proportional to 3,509.44, 5,254.92 and 2,952.80

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Solution

The fourth proportional to 3,509.44, 5,254.92 and 2,952.80 is: 4,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.44 : 5,254.92 = 2,952.80 : x
  2. Step 2: Convert to fraction form
    3,509.44/5,254.92 = 2,952.80/x
  3. Step 3: Cross multiply
    3,509.44x = 5,254.92 × 2,952.80
  4. Step 4: Simplify right side
    3,509.44x = 15,516,727.78
  5. Step 5: Solve for x
    x = 15,516,727.78/3,509.44
  6. Step 6: Final answer
    x = 4,421.43

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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.