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Finding the Fourth Proportional to 4,576.98, 6,320.43 and 4,331.46

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Solution

The fourth proportional to 4,576.98, 6,320.43 and 4,331.46 is: 5,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.98 : 6,320.43 = 4,331.46 : x
  2. Step 2: Convert to fraction form
    4,576.98/6,320.43 = 4,331.46/x
  3. Step 3: Cross multiply
    4,576.98x = 6,320.43 × 4,331.46
  4. Step 4: Simplify right side
    4,576.98x = 27,376,689.73
  5. Step 5: Solve for x
    x = 27,376,689.73/4,576.98
  6. Step 6: Final answer
    x = 5,981.39

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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.