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Finding the Fourth Proportional to 4,770.47, 7,152.49 and 1,845.35

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Solution

The fourth proportional to 4,770.47, 7,152.49 and 1,845.35 is: 2,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.47 : 7,152.49 = 1,845.35 : x
  2. Step 2: Convert to fraction form
    4,770.47/7,152.49 = 1,845.35/x
  3. Step 3: Cross multiply
    4,770.47x = 7,152.49 × 1,845.35
  4. Step 4: Simplify right side
    4,770.47x = 13,198,847.42
  5. Step 5: Solve for x
    x = 13,198,847.42/4,770.47
  6. Step 6: Final answer
    x = 2,766.78

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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.