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Finding the Fourth Proportional to 4,142.70, 5,709.66 and 3,684.66

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Solution

The fourth proportional to 4,142.70, 5,709.66 and 3,684.66 is: 5,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.70 : 5,709.66 = 3,684.66 : x
  2. Step 2: Convert to fraction form
    4,142.70/5,709.66 = 3,684.66/x
  3. Step 3: Cross multiply
    4,142.70x = 5,709.66 × 3,684.66
  4. Step 4: Simplify right side
    4,142.70x = 21,038,155.82
  5. Step 5: Solve for x
    x = 21,038,155.82/4,142.70
  6. Step 6: Final answer
    x = 5,078.37

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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.