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Finding the Fourth Proportional to 4,645.11, 6,394.62 and 4,024.26

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Solution

The fourth proportional to 4,645.11, 6,394.62 and 4,024.26 is: 5,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.11 : 6,394.62 = 4,024.26 : x
  2. Step 2: Convert to fraction form
    4,645.11/6,394.62 = 4,024.26/x
  3. Step 3: Cross multiply
    4,645.11x = 6,394.62 × 4,024.26
  4. Step 4: Simplify right side
    4,645.11x = 25,733,613.48
  5. Step 5: Solve for x
    x = 25,733,613.48/4,645.11
  6. Step 6: Final answer
    x = 5,539.94

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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.