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Finding the Fourth Proportional to 4,148.77, 5,724.08 and 2,469.33

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Solution

The fourth proportional to 4,148.77, 5,724.08 and 2,469.33 is: 3,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.77 : 5,724.08 = 2,469.33 : x
  2. Step 2: Convert to fraction form
    4,148.77/5,724.08 = 2,469.33/x
  3. Step 3: Cross multiply
    4,148.77x = 5,724.08 × 2,469.33
  4. Step 4: Simplify right side
    4,148.77x = 14,134,639.38
  5. Step 5: Solve for x
    x = 14,134,639.38/4,148.77
  6. Step 6: Final answer
    x = 3,406.95

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Why These Related Problems?

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