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Finding the Fourth Proportional to 4,461.86, 6,696.94 and 2,272.23

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Solution

The fourth proportional to 4,461.86, 6,696.94 and 2,272.23 is: 3,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.86 : 6,696.94 = 2,272.23 : x
  2. Step 2: Convert to fraction form
    4,461.86/6,696.94 = 2,272.23/x
  3. Step 3: Cross multiply
    4,461.86x = 6,696.94 × 2,272.23
  4. Step 4: Simplify right side
    4,461.86x = 15,216,954.49
  5. Step 5: Solve for x
    x = 15,216,954.49/4,461.86
  6. Step 6: Final answer
    x = 3,410.45

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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.