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Finding the Fourth Proportional to 5,803.12, 8,706.82 and 2,684.64

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Solution

The fourth proportional to 5,803.12, 8,706.82 and 2,684.64 is: 4,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.12 : 8,706.82 = 2,684.64 : x
  2. Step 2: Convert to fraction form
    5,803.12/8,706.82 = 2,684.64/x
  3. Step 3: Cross multiply
    5,803.12x = 8,706.82 × 2,684.64
  4. Step 4: Simplify right side
    5,803.12x = 23,374,677.24
  5. Step 5: Solve for x
    x = 23,374,677.24/5,803.12
  6. Step 6: Final answer
    x = 4,027.95

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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.