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Finding the Fourth Proportional to 4,211.37, 6,317.64 and 4,144.68

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Solution

The fourth proportional to 4,211.37, 6,317.64 and 4,144.68 is: 6,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.37 : 6,317.64 = 4,144.68 : x
  2. Step 2: Convert to fraction form
    4,211.37/6,317.64 = 4,144.68/x
  3. Step 3: Cross multiply
    4,211.37x = 6,317.64 × 4,144.68
  4. Step 4: Simplify right side
    4,211.37x = 26,184,596.16
  5. Step 5: Solve for x
    x = 26,184,596.16/4,211.37
  6. Step 6: Final answer
    x = 6,217.60

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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.