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Finding the Fourth Proportional to 6,218.79, 8,583.06 and 3,702.38

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Solution

The fourth proportional to 6,218.79, 8,583.06 and 3,702.38 is: 5,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.79 : 8,583.06 = 3,702.38 : x
  2. Step 2: Convert to fraction form
    6,218.79/8,583.06 = 3,702.38/x
  3. Step 3: Cross multiply
    6,218.79x = 8,583.06 × 3,702.38
  4. Step 4: Simplify right side
    6,218.79x = 31,777,720.65
  5. Step 5: Solve for x
    x = 31,777,720.65/6,218.79
  6. Step 6: Final answer
    x = 5,109.95

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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.