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Finding the Fourth Proportional to 5,802, 8,702.97 and 2,104.22

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Solution

The fourth proportional to 5,802, 8,702.97 and 2,104.22 is: 3,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 8,702.97 = 2,104.22 : x
  2. Step 2: Convert to fraction form
    5,802/8,702.97 = 2,104.22/x
  3. Step 3: Cross multiply
    5,802x = 8,702.97 × 2,104.22
  4. Step 4: Simplify right side
    5,802x = 18,312,963.53
  5. Step 5: Solve for x
    x = 18,312,963.53/5,802
  6. Step 6: Final answer
    x = 3,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.