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Finding the Fourth Proportional to 4,148.57, 5,723.10 and 2,469.03

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Solution

The fourth proportional to 4,148.57, 5,723.10 and 2,469.03 is: 3,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.57 : 5,723.10 = 2,469.03 : x
  2. Step 2: Convert to fraction form
    4,148.57/5,723.10 = 2,469.03/x
  3. Step 3: Cross multiply
    4,148.57x = 5,723.10 × 2,469.03
  4. Step 4: Simplify right side
    4,148.57x = 14,130,505.59
  5. Step 5: Solve for x
    x = 14,130,505.59/4,148.57
  6. Step 6: Final answer
    x = 3,406.12

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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.