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Finding the Fourth Proportional to 4,576.38, 6,317.76 and 2,899.54

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Solution

The fourth proportional to 4,576.38, 6,317.76 and 2,899.54 is: 4,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.38 : 6,317.76 = 2,899.54 : x
  2. Step 2: Convert to fraction form
    4,576.38/6,317.76 = 2,899.54/x
  3. Step 3: Cross multiply
    4,576.38x = 6,317.76 × 2,899.54
  4. Step 4: Simplify right side
    4,576.38x = 18,318,597.83
  5. Step 5: Solve for x
    x = 18,318,597.83/4,576.38
  6. Step 6: Final answer
    x = 4,002.86

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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.