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Finding the Fourth Proportional to 5,938.68, 8,201.86 and 3,957.64

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Solution

The fourth proportional to 5,938.68, 8,201.86 and 3,957.64 is: 5,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.68 : 8,201.86 = 3,957.64 : x
  2. Step 2: Convert to fraction form
    5,938.68/8,201.86 = 3,957.64/x
  3. Step 3: Cross multiply
    5,938.68x = 8,201.86 × 3,957.64
  4. Step 4: Simplify right side
    5,938.68x = 32,460,009.21
  5. Step 5: Solve for x
    x = 32,460,009.21/5,938.68
  6. Step 6: Final answer
    x = 5,465.86

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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.