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Finding the Fourth Proportional to 3,792.33, 5,686.94 and 2,235.44

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Solution

The fourth proportional to 3,792.33, 5,686.94 and 2,235.44 is: 3,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.33 : 5,686.94 = 2,235.44 : x
  2. Step 2: Convert to fraction form
    3,792.33/5,686.94 = 2,235.44/x
  3. Step 3: Cross multiply
    3,792.33x = 5,686.94 × 2,235.44
  4. Step 4: Simplify right side
    3,792.33x = 12,712,832.96
  5. Step 5: Solve for x
    x = 12,712,832.96/3,792.33
  6. Step 6: Final answer
    x = 3,352.25

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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.