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Finding the Fourth Proportional to 6,674.18, 9,210 and 3,689.84

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Solution

The fourth proportional to 6,674.18, 9,210 and 3,689.84 is: 5,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.18 : 9,210 = 3,689.84 : x
  2. Step 2: Convert to fraction form
    6,674.18/9,210 = 3,689.84/x
  3. Step 3: Cross multiply
    6,674.18x = 9,210 × 3,689.84
  4. Step 4: Simplify right side
    6,674.18x = 33,983,449.43
  5. Step 5: Solve for x
    x = 33,983,449.43/6,674.18
  6. Step 6: Final answer
    x = 5,091.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.