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Finding the Fourth Proportional to 6,339.06, 8,746.43 and 3,684.87

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Solution

The fourth proportional to 6,339.06, 8,746.43 and 3,684.87 is: 5,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.06 : 8,746.43 = 3,684.87 : x
  2. Step 2: Convert to fraction form
    6,339.06/8,746.43 = 3,684.87/x
  3. Step 3: Cross multiply
    6,339.06x = 8,746.43 × 3,684.87
  4. Step 4: Simplify right side
    6,339.06x = 32,229,439.09
  5. Step 5: Solve for x
    x = 32,229,439.09/6,339.06
  6. Step 6: Final answer
    x = 5,084.26

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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.