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Finding the Fourth Proportional to 3,860.41, 5,792.26 and 1,887.81

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Solution

The fourth proportional to 3,860.41, 5,792.26 and 1,887.81 is: 2,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.41 : 5,792.26 = 1,887.81 : x
  2. Step 2: Convert to fraction form
    3,860.41/5,792.26 = 1,887.81/x
  3. Step 3: Cross multiply
    3,860.41x = 5,792.26 × 1,887.81
  4. Step 4: Simplify right side
    3,860.41x = 10,934,663.45
  5. Step 5: Solve for x
    x = 10,934,663.45/3,860.41
  6. Step 6: Final answer
    x = 2,832.51

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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.