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Finding the Fourth Proportional to 4,770.12, 7,154.88 and 2,834.64

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Solution

The fourth proportional to 4,770.12, 7,154.88 and 2,834.64 is: 4,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.12 : 7,154.88 = 2,834.64 : x
  2. Step 2: Convert to fraction form
    4,770.12/7,154.88 = 2,834.64/x
  3. Step 3: Cross multiply
    4,770.12x = 7,154.88 × 2,834.64
  4. Step 4: Simplify right side
    4,770.12x = 20,281,509.04
  5. Step 5: Solve for x
    x = 20,281,509.04/4,770.12
  6. Step 6: Final answer
    x = 4,251.78

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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.