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Finding the Fourth Proportional to 6,674.57, 9,210.75 and 3,690.17

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Solution

The fourth proportional to 6,674.57, 9,210.75 and 3,690.17 is: 5,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.57 : 9,210.75 = 3,690.17 : x
  2. Step 2: Convert to fraction form
    6,674.57/9,210.75 = 3,690.17/x
  3. Step 3: Cross multiply
    6,674.57x = 9,210.75 × 3,690.17
  4. Step 4: Simplify right side
    6,674.57x = 33,989,233.33
  5. Step 5: Solve for x
    x = 33,989,233.33/6,674.57
  6. Step 6: Final answer
    x = 5,092.35

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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.