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Finding the Fourth Proportional to 5,377, 8,059.74 and 2,256.22

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Solution

The fourth proportional to 5,377, 8,059.74 and 2,256.22 is: 3,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377 : 8,059.74 = 2,256.22 : x
  2. Step 2: Convert to fraction form
    5,377/8,059.74 = 2,256.22/x
  3. Step 3: Cross multiply
    5,377x = 8,059.74 × 2,256.22
  4. Step 4: Simplify right side
    5,377x = 18,184,546.58
  5. Step 5: Solve for x
    x = 18,184,546.58/5,377
  6. Step 6: Final answer
    x = 3,381.91

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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.