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Finding the Fourth Proportional to 4,534.26, 6,256.74 and 2,645.22

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Solution

The fourth proportional to 4,534.26, 6,256.74 and 2,645.22 is: 3,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.26 : 6,256.74 = 2,645.22 : x
  2. Step 2: Convert to fraction form
    4,534.26/6,256.74 = 2,645.22/x
  3. Step 3: Cross multiply
    4,534.26x = 6,256.74 × 2,645.22
  4. Step 4: Simplify right side
    4,534.26x = 16,550,453.78
  5. Step 5: Solve for x
    x = 16,550,453.78/4,534.26
  6. Step 6: Final answer
    x = 3,650.09

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