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Finding the Fourth Proportional to 3,473.24, 5,210.73 and 1,008

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Solution

The fourth proportional to 3,473.24, 5,210.73 and 1,008 is: 1,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.24 : 5,210.73 = 1,008 : x
  2. Step 2: Convert to fraction form
    3,473.24/5,210.73 = 1,008/x
  3. Step 3: Cross multiply
    3,473.24x = 5,210.73 × 1,008
  4. Step 4: Simplify right side
    3,473.24x = 5,252,415.84
  5. Step 5: Solve for x
    x = 5,252,415.84/3,473.24
  6. Step 6: Final answer
    x = 1,512.25

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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.