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Finding the Fourth Proportional to 5,346.64, 7,378.92 and 3,108.34

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Solution

The fourth proportional to 5,346.64, 7,378.92 and 3,108.34 is: 4,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.64 : 7,378.92 = 3,108.34 : x
  2. Step 2: Convert to fraction form
    5,346.64/7,378.92 = 3,108.34/x
  3. Step 3: Cross multiply
    5,346.64x = 7,378.92 × 3,108.34
  4. Step 4: Simplify right side
    5,346.64x = 22,936,192.19
  5. Step 5: Solve for x
    x = 22,936,192.19/5,346.64
  6. Step 6: Final answer
    x = 4,289.83

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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.