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Finding the Fourth Proportional to 8,583.59, 12,878.22 and 3,657.38

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Solution

The fourth proportional to 8,583.59, 12,878.22 and 3,657.38 is: 5,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.59 : 12,878.22 = 3,657.38 : x
  2. Step 2: Convert to fraction form
    8,583.59/12,878.22 = 3,657.38/x
  3. Step 3: Cross multiply
    8,583.59x = 12,878.22 × 3,657.38
  4. Step 4: Simplify right side
    8,583.59x = 47,100,479.87
  5. Step 5: Solve for x
    x = 47,100,479.87/8,583.59
  6. Step 6: Final answer
    x = 5,487.27

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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.