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Finding the Fourth Proportional to 4,569, 6,305.22 and 2,473.14

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Solution

The fourth proportional to 4,569, 6,305.22 and 2,473.14 is: 3,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 6,305.22 = 2,473.14 : x
  2. Step 2: Convert to fraction form
    4,569/6,305.22 = 2,473.14/x
  3. Step 3: Cross multiply
    4,569x = 6,305.22 × 2,473.14
  4. Step 4: Simplify right side
    4,569x = 15,593,691.79
  5. Step 5: Solve for x
    x = 15,593,691.79/4,569
  6. Step 6: Final answer
    x = 3,412.93

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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.