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Finding the Fourth Proportional to 4,147.40, 5,723.03 and 2,468.54

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Solution

The fourth proportional to 4,147.40, 5,723.03 and 2,468.54 is: 3,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.40 : 5,723.03 = 2,468.54 : x
  2. Step 2: Convert to fraction form
    4,147.40/5,723.03 = 2,468.54/x
  3. Step 3: Cross multiply
    4,147.40x = 5,723.03 × 2,468.54
  4. Step 4: Simplify right side
    4,147.40x = 14,127,502.88
  5. Step 5: Solve for x
    x = 14,127,502.88/4,147.40
  6. Step 6: Final answer
    x = 3,406.35

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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.