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Finding the Fourth Proportional to 4,462.52, 6,697.86 and 2,272.76

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Solution

The fourth proportional to 4,462.52, 6,697.86 and 2,272.76 is: 3,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.52 : 6,697.86 = 2,272.76 : x
  2. Step 2: Convert to fraction form
    4,462.52/6,697.86 = 2,272.76/x
  3. Step 3: Cross multiply
    4,462.52x = 6,697.86 × 2,272.76
  4. Step 4: Simplify right side
    4,462.52x = 15,222,628.29
  5. Step 5: Solve for x
    x = 15,222,628.29/4,462.52
  6. Step 6: Final answer
    x = 3,411.22

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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.