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Finding the Fourth Proportional to 4,632.12, 6,946.56 and 2,696.22

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Solution

The fourth proportional to 4,632.12, 6,946.56 and 2,696.22 is: 4,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.12 : 6,946.56 = 2,696.22 : x
  2. Step 2: Convert to fraction form
    4,632.12/6,946.56 = 2,696.22/x
  3. Step 3: Cross multiply
    4,632.12x = 6,946.56 × 2,696.22
  4. Step 4: Simplify right side
    4,632.12x = 18,729,454.00
  5. Step 5: Solve for x
    x = 18,729,454.00/4,632.12
  6. Step 6: Final answer
    x = 4,043.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.