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Finding the Fourth Proportional to 4,768.02, 7,151.90 and 1,846.98

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Solution

The fourth proportional to 4,768.02, 7,151.90 and 1,846.98 is: 2,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.02 : 7,151.90 = 1,846.98 : x
  2. Step 2: Convert to fraction form
    4,768.02/7,151.90 = 1,846.98/x
  3. Step 3: Cross multiply
    4,768.02x = 7,151.90 × 1,846.98
  4. Step 4: Simplify right side
    4,768.02x = 13,209,407.03
  5. Step 5: Solve for x
    x = 13,209,407.03/4,768.02
  6. Step 6: Final answer
    x = 2,770.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.