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Finding the Fourth Proportional to 5,670.84, 7,823.82 and 3,684.12

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Solution

The fourth proportional to 5,670.84, 7,823.82 and 3,684.12 is: 5,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.84 : 7,823.82 = 3,684.12 : x
  2. Step 2: Convert to fraction form
    5,670.84/7,823.82 = 3,684.12/x
  3. Step 3: Cross multiply
    5,670.84x = 7,823.82 × 3,684.12
  4. Step 4: Simplify right side
    5,670.84x = 28,823,891.74
  5. Step 5: Solve for x
    x = 28,823,891.74/5,670.84
  6. Step 6: Final answer
    x = 5,082.83

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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.