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Finding the Fourth Proportional to 3,853.63, 5,317 and 2,281.02

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Solution

The fourth proportional to 3,853.63, 5,317 and 2,281.02 is: 3,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.63 : 5,317 = 2,281.02 : x
  2. Step 2: Convert to fraction form
    3,853.63/5,317 = 2,281.02/x
  3. Step 3: Cross multiply
    3,853.63x = 5,317 × 2,281.02
  4. Step 4: Simplify right side
    3,853.63x = 12,128,183.34
  5. Step 5: Solve for x
    x = 12,128,183.34/3,853.63
  6. Step 6: Final answer
    x = 3,147.21

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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.