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Finding the Fourth Proportional to 4,147.94, 5,723.52 and 2,468.78

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Solution

The fourth proportional to 4,147.94, 5,723.52 and 2,468.78 is: 3,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.94 : 5,723.52 = 2,468.78 : x
  2. Step 2: Convert to fraction form
    4,147.94/5,723.52 = 2,468.78/x
  3. Step 3: Cross multiply
    4,147.94x = 5,723.52 × 2,468.78
  4. Step 4: Simplify right side
    4,147.94x = 14,130,111.71
  5. Step 5: Solve for x
    x = 14,130,111.71/4,147.94
  6. Step 6: Final answer
    x = 3,406.54

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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.