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Finding the Fourth Proportional to 3,480.74, 5,221.65 and 1,632.02

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Solution

The fourth proportional to 3,480.74, 5,221.65 and 1,632.02 is: 2,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.74 : 5,221.65 = 1,632.02 : x
  2. Step 2: Convert to fraction form
    3,480.74/5,221.65 = 1,632.02/x
  3. Step 3: Cross multiply
    3,480.74x = 5,221.65 × 1,632.02
  4. Step 4: Simplify right side
    3,480.74x = 8,521,837.23
  5. Step 5: Solve for x
    x = 8,521,837.23/3,480.74
  6. Step 6: Final answer
    x = 2,448.28

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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.