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Finding the Fourth Proportional to 3,613.94, 5,389.56 and 3,264.02

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Solution

The fourth proportional to 3,613.94, 5,389.56 and 3,264.02 is: 4,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.94 : 5,389.56 = 3,264.02 : x
  2. Step 2: Convert to fraction form
    3,613.94/5,389.56 = 3,264.02/x
  3. Step 3: Cross multiply
    3,613.94x = 5,389.56 × 3,264.02
  4. Step 4: Simplify right side
    3,613.94x = 17,591,615.31
  5. Step 5: Solve for x
    x = 17,591,615.31/3,613.94
  6. Step 6: Final answer
    x = 4,867.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.