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Finding the Fourth Proportional to 3,885.66, 5,363.63 and 2,629.50

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Solution

The fourth proportional to 3,885.66, 5,363.63 and 2,629.50 is: 3,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.66 : 5,363.63 = 2,629.50 : x
  2. Step 2: Convert to fraction form
    3,885.66/5,363.63 = 2,629.50/x
  3. Step 3: Cross multiply
    3,885.66x = 5,363.63 × 2,629.50
  4. Step 4: Simplify right side
    3,885.66x = 14,103,665.09
  5. Step 5: Solve for x
    x = 14,103,665.09/3,885.66
  6. Step 6: Final answer
    x = 3,629.67

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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.