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Finding the Fourth Proportional to 4,757.42, 7,134.96 and 1,470.62

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Solution

The fourth proportional to 4,757.42, 7,134.96 and 1,470.62 is: 2,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.42 : 7,134.96 = 1,470.62 : x
  2. Step 2: Convert to fraction form
    4,757.42/7,134.96 = 1,470.62/x
  3. Step 3: Cross multiply
    4,757.42x = 7,134.96 × 1,470.62
  4. Step 4: Simplify right side
    4,757.42x = 10,492,814.88
  5. Step 5: Solve for x
    x = 10,492,814.88/4,757.42
  6. Step 6: Final answer
    x = 2,205.57

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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.