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Finding the Fourth Proportional to 4,917.96, 6,791.58 and 4,205.67

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Solution

The fourth proportional to 4,917.96, 6,791.58 and 4,205.67 is: 5,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.96 : 6,791.58 = 4,205.67 : x
  2. Step 2: Convert to fraction form
    4,917.96/6,791.58 = 4,205.67/x
  3. Step 3: Cross multiply
    4,917.96x = 6,791.58 × 4,205.67
  4. Step 4: Simplify right side
    4,917.96x = 28,563,144.26
  5. Step 5: Solve for x
    x = 28,563,144.26/4,917.96
  6. Step 6: Final answer
    x = 5,807.93

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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.