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Finding the Fourth Proportional to 5,938.17, 8,201.16 and 3,957.14

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Solution

The fourth proportional to 5,938.17, 8,201.16 and 3,957.14 is: 5,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.17 : 8,201.16 = 3,957.14 : x
  2. Step 2: Convert to fraction form
    5,938.17/8,201.16 = 3,957.14/x
  3. Step 3: Cross multiply
    5,938.17x = 8,201.16 × 3,957.14
  4. Step 4: Simplify right side
    5,938.17x = 32,453,097.28
  5. Step 5: Solve for x
    x = 32,453,097.28/5,938.17
  6. Step 6: Final answer
    x = 5,465.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.