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Finding the Fourth Proportional to 4,536.67, 6,256 and 4,272.10

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Solution

The fourth proportional to 4,536.67, 6,256 and 4,272.10 is: 5,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.67 : 6,256 = 4,272.10 : x
  2. Step 2: Convert to fraction form
    4,536.67/6,256 = 4,272.10/x
  3. Step 3: Cross multiply
    4,536.67x = 6,256 × 4,272.10
  4. Step 4: Simplify right side
    4,536.67x = 26,726,257.60
  5. Step 5: Solve for x
    x = 26,726,257.60/4,536.67
  6. Step 6: Final answer
    x = 5,891.16

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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.