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Finding the Fourth Proportional to 6,770.84, 10,158.57 and 3,651.14

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Solution

The fourth proportional to 6,770.84, 10,158.57 and 3,651.14 is: 5,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.84 : 10,158.57 = 3,651.14 : x
  2. Step 2: Convert to fraction form
    6,770.84/10,158.57 = 3,651.14/x
  3. Step 3: Cross multiply
    6,770.84x = 10,158.57 × 3,651.14
  4. Step 4: Simplify right side
    6,770.84x = 37,090,386.67
  5. Step 5: Solve for x
    x = 37,090,386.67/6,770.84
  6. Step 6: Final answer
    x = 5,477.96

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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.