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Finding the Fourth Proportional to 5,864.81, 8,094.20 and 3,346.34

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Solution

The fourth proportional to 5,864.81, 8,094.20 and 3,346.34 is: 4,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.81 : 8,094.20 = 3,346.34 : x
  2. Step 2: Convert to fraction form
    5,864.81/8,094.20 = 3,346.34/x
  3. Step 3: Cross multiply
    5,864.81x = 8,094.20 × 3,346.34
  4. Step 4: Simplify right side
    5,864.81x = 27,085,945.23
  5. Step 5: Solve for x
    x = 27,085,945.23/5,864.81
  6. Step 6: Final answer
    x = 4,618.38

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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.