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Finding the Fourth Proportional to 4,494.42, 6,737.31 and 2,846.88

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Solution

The fourth proportional to 4,494.42, 6,737.31 and 2,846.88 is: 4,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.42 : 6,737.31 = 2,846.88 : x
  2. Step 2: Convert to fraction form
    4,494.42/6,737.31 = 2,846.88/x
  3. Step 3: Cross multiply
    4,494.42x = 6,737.31 × 2,846.88
  4. Step 4: Simplify right side
    4,494.42x = 19,180,313.09
  5. Step 5: Solve for x
    x = 19,180,313.09/4,494.42
  6. Step 6: Final answer
    x = 4,267.58

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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.