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Finding the Fourth Proportional to 6,062, 8,367.72 and 3,578

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Solution

The fourth proportional to 6,062, 8,367.72 and 3,578 is: 4,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062 : 8,367.72 = 3,578 : x
  2. Step 2: Convert to fraction form
    6,062/8,367.72 = 3,578/x
  3. Step 3: Cross multiply
    6,062x = 8,367.72 × 3,578
  4. Step 4: Simplify right side
    6,062x = 29,939,702.16
  5. Step 5: Solve for x
    x = 29,939,702.16/6,062
  6. Step 6: Final answer
    x = 4,938.91

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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.