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Finding the Fourth Proportional to 3,664.56, 5,495.76 and 2,843.76

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Solution

The fourth proportional to 3,664.56, 5,495.76 and 2,843.76 is: 4,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.56 : 5,495.76 = 2,843.76 : x
  2. Step 2: Convert to fraction form
    3,664.56/5,495.76 = 2,843.76/x
  3. Step 3: Cross multiply
    3,664.56x = 5,495.76 × 2,843.76
  4. Step 4: Simplify right side
    3,664.56x = 15,628,622.46
  5. Step 5: Solve for x
    x = 15,628,622.46/3,664.56
  6. Step 6: Final answer
    x = 4,264.80

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1.5x scale

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.