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Finding the Fourth Proportional to 5,365.16, 8,047.72 and 1,469.86

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Solution

The fourth proportional to 5,365.16, 8,047.72 and 1,469.86 is: 2,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.16 : 8,047.72 = 1,469.86 : x
  2. Step 2: Convert to fraction form
    5,365.16/8,047.72 = 1,469.86/x
  3. Step 3: Cross multiply
    5,365.16x = 8,047.72 × 1,469.86
  4. Step 4: Simplify right side
    5,365.16x = 11,829,021.72
  5. Step 5: Solve for x
    x = 11,829,021.72/5,365.16
  6. Step 6: Final answer
    x = 2,204.78

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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.