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Finding the Fourth Proportional to 4,765.42, 7,148.31 and 1,478.44

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Solution

The fourth proportional to 4,765.42, 7,148.31 and 1,478.44 is: 2,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.42 : 7,148.31 = 1,478.44 : x
  2. Step 2: Convert to fraction form
    4,765.42/7,148.31 = 1,478.44/x
  3. Step 3: Cross multiply
    4,765.42x = 7,148.31 × 1,478.44
  4. Step 4: Simplify right side
    4,765.42x = 10,568,347.44
  5. Step 5: Solve for x
    x = 10,568,347.44/4,765.42
  6. Step 6: Final answer
    x = 2,217.72

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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.