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Finding the Fourth Proportional to 5,866.68, 8,094 and 3,346.96

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Solution

The fourth proportional to 5,866.68, 8,094 and 3,346.96 is: 4,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.68 : 8,094 = 3,346.96 : x
  2. Step 2: Convert to fraction form
    5,866.68/8,094 = 3,346.96/x
  3. Step 3: Cross multiply
    5,866.68x = 8,094 × 3,346.96
  4. Step 4: Simplify right side
    5,866.68x = 27,090,294.24
  5. Step 5: Solve for x
    x = 27,090,294.24/5,866.68
  6. Step 6: Final answer
    x = 4,617.65

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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.