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Finding the Fourth Proportional to 4,365.86, 6,546.34 and 3,847.04

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Solution

The fourth proportional to 4,365.86, 6,546.34 and 3,847.04 is: 5,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.86 : 6,546.34 = 3,847.04 : x
  2. Step 2: Convert to fraction form
    4,365.86/6,546.34 = 3,847.04/x
  3. Step 3: Cross multiply
    4,365.86x = 6,546.34 × 3,847.04
  4. Step 4: Simplify right side
    4,365.86x = 25,184,031.83
  5. Step 5: Solve for x
    x = 25,184,031.83/4,365.86
  6. Step 6: Final answer
    x = 5,768.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.