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Finding the Fourth Proportional to 3,846.44, 5,768.40 and 1,652.96

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Solution

The fourth proportional to 3,846.44, 5,768.40 and 1,652.96 is: 2,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.44 : 5,768.40 = 1,652.96 : x
  2. Step 2: Convert to fraction form
    3,846.44/5,768.40 = 1,652.96/x
  3. Step 3: Cross multiply
    3,846.44x = 5,768.40 × 1,652.96
  4. Step 4: Simplify right side
    3,846.44x = 9,534,934.46
  5. Step 5: Solve for x
    x = 9,534,934.46/3,846.44
  6. Step 6: Final answer
    x = 2,478.90

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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.