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Finding the Fourth Proportional to 3,768.42, 5,650.80 and 1,302.37

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Solution

The fourth proportional to 3,768.42, 5,650.80 and 1,302.37 is: 1,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.42 : 5,650.80 = 1,302.37 : x
  2. Step 2: Convert to fraction form
    3,768.42/5,650.80 = 1,302.37/x
  3. Step 3: Cross multiply
    3,768.42x = 5,650.80 × 1,302.37
  4. Step 4: Simplify right side
    3,768.42x = 7,359,432.40
  5. Step 5: Solve for x
    x = 7,359,432.40/3,768.42
  6. Step 6: Final answer
    x = 1,952.93

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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.