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Finding the Fourth Proportional to 3,674.29, 5,512.11 and 1,210.84

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Solution

The fourth proportional to 3,674.29, 5,512.11 and 1,210.84 is: 1,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.29 : 5,512.11 = 1,210.84 : x
  2. Step 2: Convert to fraction form
    3,674.29/5,512.11 = 1,210.84/x
  3. Step 3: Cross multiply
    3,674.29x = 5,512.11 × 1,210.84
  4. Step 4: Simplify right side
    3,674.29x = 6,674,255.71
  5. Step 5: Solve for x
    x = 6,674,255.71/3,674.29
  6. Step 6: Final answer
    x = 1,816.48

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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.