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Finding the Fourth Proportional to 8,592.45, 12,876.51 and 3,657.12

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Solution

The fourth proportional to 8,592.45, 12,876.51 and 3,657.12 is: 5,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.45 : 12,876.51 = 3,657.12 : x
  2. Step 2: Convert to fraction form
    8,592.45/12,876.51 = 3,657.12/x
  3. Step 3: Cross multiply
    8,592.45x = 12,876.51 × 3,657.12
  4. Step 4: Simplify right side
    8,592.45x = 47,090,942.25
  5. Step 5: Solve for x
    x = 47,090,942.25/8,592.45
  6. Step 6: Final answer
    x = 5,480.50

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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.