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Finding the Fourth Proportional to 4,767.86, 7,154.27 and 3,462.40

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Solution

The fourth proportional to 4,767.86, 7,154.27 and 3,462.40 is: 5,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.86 : 7,154.27 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    4,767.86/7,154.27 = 3,462.40/x
  3. Step 3: Cross multiply
    4,767.86x = 7,154.27 × 3,462.40
  4. Step 4: Simplify right side
    4,767.86x = 24,770,928.30
  5. Step 5: Solve for x
    x = 24,770,928.30/4,767.86
  6. Step 6: Final answer
    x = 5,195.40

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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.