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Finding the Fourth Proportional to 4,129.68, 5,696.83 and 2,614.67

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Solution

The fourth proportional to 4,129.68, 5,696.83 and 2,614.67 is: 3,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.68 : 5,696.83 = 2,614.67 : x
  2. Step 2: Convert to fraction form
    4,129.68/5,696.83 = 2,614.67/x
  3. Step 3: Cross multiply
    4,129.68x = 5,696.83 × 2,614.67
  4. Step 4: Simplify right side
    4,129.68x = 14,895,330.50
  5. Step 5: Solve for x
    x = 14,895,330.50/4,129.68
  6. Step 6: Final answer
    x = 3,606.90

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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.