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Finding the Fourth Proportional to 4,567.96, 6,852.32 and 1,794.42

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Solution

The fourth proportional to 4,567.96, 6,852.32 and 1,794.42 is: 2,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.96 : 6,852.32 = 1,794.42 : x
  2. Step 2: Convert to fraction form
    4,567.96/6,852.32 = 1,794.42/x
  3. Step 3: Cross multiply
    4,567.96x = 6,852.32 × 1,794.42
  4. Step 4: Simplify right side
    4,567.96x = 12,295,940.05
  5. Step 5: Solve for x
    x = 12,295,940.05/4,567.96
  6. Step 6: Final answer
    x = 2,691.78

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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.