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Finding the Fourth Proportional to 4,673.62, 6,452.86 and 2,906.02

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Solution

The fourth proportional to 4,673.62, 6,452.86 and 2,906.02 is: 4,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.62 : 6,452.86 = 2,906.02 : x
  2. Step 2: Convert to fraction form
    4,673.62/6,452.86 = 2,906.02/x
  3. Step 3: Cross multiply
    4,673.62x = 6,452.86 × 2,906.02
  4. Step 4: Simplify right side
    4,673.62x = 18,752,140.22
  5. Step 5: Solve for x
    x = 18,752,140.22/4,673.62
  6. Step 6: Final answer
    x = 4,012.34

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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.