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Finding the Fourth Proportional to 4,235.79, 5,846.12 and 2,468.27

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Solution

The fourth proportional to 4,235.79, 5,846.12 and 2,468.27 is: 3,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.79 : 5,846.12 = 2,468.27 : x
  2. Step 2: Convert to fraction form
    4,235.79/5,846.12 = 2,468.27/x
  3. Step 3: Cross multiply
    4,235.79x = 5,846.12 × 2,468.27
  4. Step 4: Simplify right side
    4,235.79x = 14,429,828.03
  5. Step 5: Solve for x
    x = 14,429,828.03/4,235.79
  6. Step 6: Final answer
    x = 3,406.64

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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.