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Finding the Fourth Proportional to 4,267.32, 6,431.82 and 4,029

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Solution

The fourth proportional to 4,267.32, 6,431.82 and 4,029 is: 6,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.32 : 6,431.82 = 4,029 : x
  2. Step 2: Convert to fraction form
    4,267.32/6,431.82 = 4,029/x
  3. Step 3: Cross multiply
    4,267.32x = 6,431.82 × 4,029
  4. Step 4: Simplify right side
    4,267.32x = 25,913,802.78
  5. Step 5: Solve for x
    x = 25,913,802.78/4,267.32
  6. Step 6: Final answer
    x = 6,072.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.