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Finding the Fourth Proportional to 3,782.15, 5,216.64 and 2,916.60

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Solution

The fourth proportional to 3,782.15, 5,216.64 and 2,916.60 is: 4,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.15 : 5,216.64 = 2,916.60 : x
  2. Step 2: Convert to fraction form
    3,782.15/5,216.64 = 2,916.60/x
  3. Step 3: Cross multiply
    3,782.15x = 5,216.64 × 2,916.60
  4. Step 4: Simplify right side
    3,782.15x = 15,214,851.07
  5. Step 5: Solve for x
    x = 15,214,851.07/3,782.15
  6. Step 6: Final answer
    x = 4,022.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.