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Finding the Fourth Proportional to 5,893.74, 8,824.81 and 3,114.64

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Solution

The fourth proportional to 5,893.74, 8,824.81 and 3,114.64 is: 4,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.74 : 8,824.81 = 3,114.64 : x
  2. Step 2: Convert to fraction form
    5,893.74/8,824.81 = 3,114.64/x
  3. Step 3: Cross multiply
    5,893.74x = 8,824.81 × 3,114.64
  4. Step 4: Simplify right side
    5,893.74x = 27,486,106.22
  5. Step 5: Solve for x
    x = 27,486,106.22/5,893.74
  6. Step 6: Final answer
    x = 4,663.61

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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.