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Finding the Fourth Proportional to 4,743.60, 7,150.98 and 4,426.44

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Solution

The fourth proportional to 4,743.60, 7,150.98 and 4,426.44 is: 6,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.60 : 7,150.98 = 4,426.44 : x
  2. Step 2: Convert to fraction form
    4,743.60/7,150.98 = 4,426.44/x
  3. Step 3: Cross multiply
    4,743.60x = 7,150.98 × 4,426.44
  4. Step 4: Simplify right side
    4,743.60x = 31,653,383.91
  5. Step 5: Solve for x
    x = 31,653,383.91/4,743.60
  6. Step 6: Final answer
    x = 6,672.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.