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Finding the Fourth Proportional to 5,944.47, 8,202.70 and 3,291.21

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Solution

The fourth proportional to 5,944.47, 8,202.70 and 3,291.21 is: 4,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.47 : 8,202.70 = 3,291.21 : x
  2. Step 2: Convert to fraction form
    5,944.47/8,202.70 = 3,291.21/x
  3. Step 3: Cross multiply
    5,944.47x = 8,202.70 × 3,291.21
  4. Step 4: Simplify right side
    5,944.47x = 26,996,812.38
  5. Step 5: Solve for x
    x = 26,996,812.38/5,944.47
  6. Step 6: Final answer
    x = 4,541.50

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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.