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Finding the Fourth Proportional to 4,636.08, 6,395.76 and 2,772

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Solution

The fourth proportional to 4,636.08, 6,395.76 and 2,772 is: 3,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.08 : 6,395.76 = 2,772 : x
  2. Step 2: Convert to fraction form
    4,636.08/6,395.76 = 2,772/x
  3. Step 3: Cross multiply
    4,636.08x = 6,395.76 × 2,772
  4. Step 4: Simplify right side
    4,636.08x = 17,729,046.72
  5. Step 5: Solve for x
    x = 17,729,046.72/4,636.08
  6. Step 6: Final answer
    x = 3,824.15

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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.