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Finding the Fourth Proportional to 3,766.35, 5,650.51 and 1,301.27

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Solution

The fourth proportional to 3,766.35, 5,650.51 and 1,301.27 is: 1,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.35 : 5,650.51 = 1,301.27 : x
  2. Step 2: Convert to fraction form
    3,766.35/5,650.51 = 1,301.27/x
  3. Step 3: Cross multiply
    3,766.35x = 5,650.51 × 1,301.27
  4. Step 4: Simplify right side
    3,766.35x = 7,352,810.08
  5. Step 5: Solve for x
    x = 7,352,810.08/3,766.35
  6. Step 6: Final answer
    x = 1,952.24

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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.