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Finding the Fourth Proportional to 5,365.32, 8,048.25 and 1,469.76

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Solution

The fourth proportional to 5,365.32, 8,048.25 and 1,469.76 is: 2,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.32 : 8,048.25 = 1,469.76 : x
  2. Step 2: Convert to fraction form
    5,365.32/8,048.25 = 1,469.76/x
  3. Step 3: Cross multiply
    5,365.32x = 8,048.25 × 1,469.76
  4. Step 4: Simplify right side
    5,365.32x = 11,828,995.92
  5. Step 5: Solve for x
    x = 11,828,995.92/5,365.32
  6. Step 6: Final answer
    x = 2,204.71

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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.