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Finding the Fourth Proportional to 4,157.67, 6,237.77 and 1,816.57

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Solution

The fourth proportional to 4,157.67, 6,237.77 and 1,816.57 is: 2,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.67 : 6,237.77 = 1,816.57 : x
  2. Step 2: Convert to fraction form
    4,157.67/6,237.77 = 1,816.57/x
  3. Step 3: Cross multiply
    4,157.67x = 6,237.77 × 1,816.57
  4. Step 4: Simplify right side
    4,157.67x = 11,331,345.85
  5. Step 5: Solve for x
    x = 11,331,345.85/4,157.67
  6. Step 6: Final answer
    x = 2,725.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.