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Finding the Fourth Proportional to 5,201.42, 7,177.54 and 2,963.16

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Solution

The fourth proportional to 5,201.42, 7,177.54 and 2,963.16 is: 4,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.42 : 7,177.54 = 2,963.16 : x
  2. Step 2: Convert to fraction form
    5,201.42/7,177.54 = 2,963.16/x
  3. Step 3: Cross multiply
    5,201.42x = 7,177.54 × 2,963.16
  4. Step 4: Simplify right side
    5,201.42x = 21,268,169.05
  5. Step 5: Solve for x
    x = 21,268,169.05/5,201.42
  6. Step 6: Final answer
    x = 4,088.92

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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.