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Finding the Fourth Proportional to 4,147.85, 5,723.92 and 2,259.47

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Solution

The fourth proportional to 4,147.85, 5,723.92 and 2,259.47 is: 3,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.85 : 5,723.92 = 2,259.47 : x
  2. Step 2: Convert to fraction form
    4,147.85/5,723.92 = 2,259.47/x
  3. Step 3: Cross multiply
    4,147.85x = 5,723.92 × 2,259.47
  4. Step 4: Simplify right side
    4,147.85x = 12,933,025.52
  5. Step 5: Solve for x
    x = 12,933,025.52/4,147.85
  6. Step 6: Final answer
    x = 3,118.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.