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Finding the Fourth Proportional to 4,682.67, 6,462 and 2,586.75

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Solution

The fourth proportional to 4,682.67, 6,462 and 2,586.75 is: 3,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.67 : 6,462 = 2,586.75 : x
  2. Step 2: Convert to fraction form
    4,682.67/6,462 = 2,586.75/x
  3. Step 3: Cross multiply
    4,682.67x = 6,462 × 2,586.75
  4. Step 4: Simplify right side
    4,682.67x = 16,715,578.50
  5. Step 5: Solve for x
    x = 16,715,578.50/4,682.67
  6. Step 6: Final answer
    x = 3,569.67

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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.