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Finding the Fourth Proportional to 3,706.59, 5,114.90 and 2,027.67

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Solution

The fourth proportional to 3,706.59, 5,114.90 and 2,027.67 is: 2,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.59 : 5,114.90 = 2,027.67 : x
  2. Step 2: Convert to fraction form
    3,706.59/5,114.90 = 2,027.67/x
  3. Step 3: Cross multiply
    3,706.59x = 5,114.90 × 2,027.67
  4. Step 4: Simplify right side
    3,706.59x = 10,371,329.28
  5. Step 5: Solve for x
    x = 10,371,329.28/3,706.59
  6. Step 6: Final answer
    x = 2,798.08

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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.