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Finding the Fourth Proportional to 7,576.38, 10,454.94 and 4,219.02

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Solution

The fourth proportional to 7,576.38, 10,454.94 and 4,219.02 is: 5,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.38 : 10,454.94 = 4,219.02 : x
  2. Step 2: Convert to fraction form
    7,576.38/10,454.94 = 4,219.02/x
  3. Step 3: Cross multiply
    7,576.38x = 10,454.94 × 4,219.02
  4. Step 4: Simplify right side
    7,576.38x = 44,109,600.96
  5. Step 5: Solve for x
    x = 44,109,600.96/7,576.38
  6. Step 6: Final answer
    x = 5,821.99

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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.