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Finding the Fourth Proportional to 3,798.37, 5,244.33 and 2,382.64

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Solution

The fourth proportional to 3,798.37, 5,244.33 and 2,382.64 is: 3,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.37 : 5,244.33 = 2,382.64 : x
  2. Step 2: Convert to fraction form
    3,798.37/5,244.33 = 2,382.64/x
  3. Step 3: Cross multiply
    3,798.37x = 5,244.33 × 2,382.64
  4. Step 4: Simplify right side
    3,798.37x = 12,495,350.43
  5. Step 5: Solve for x
    x = 12,495,350.43/3,798.37
  6. Step 6: Final answer
    x = 3,289.66

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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.