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Finding the Fourth Proportional to 4,581.22, 6,321.64 and 2,564.53

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Solution

The fourth proportional to 4,581.22, 6,321.64 and 2,564.53 is: 3,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.22 : 6,321.64 = 2,564.53 : x
  2. Step 2: Convert to fraction form
    4,581.22/6,321.64 = 2,564.53/x
  3. Step 3: Cross multiply
    4,581.22x = 6,321.64 × 2,564.53
  4. Step 4: Simplify right side
    4,581.22x = 16,212,003.82
  5. Step 5: Solve for x
    x = 16,212,003.82/4,581.22
  6. Step 6: Final answer
    x = 3,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.