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Finding the Fourth Proportional to 4,770.37, 7,151.19 and 1,846.47

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Solution

The fourth proportional to 4,770.37, 7,151.19 and 1,846.47 is: 2,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.37 : 7,151.19 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    4,770.37/7,151.19 = 1,846.47/x
  3. Step 3: Cross multiply
    4,770.37x = 7,151.19 × 1,846.47
  4. Step 4: Simplify right side
    4,770.37x = 13,204,457.80
  5. Step 5: Solve for x
    x = 13,204,457.80/4,770.37
  6. Step 6: Final answer
    x = 2,768.02

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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.