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Finding the Fourth Proportional to 4,292.72, 6,438.72 and 2,211.60

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Solution

The fourth proportional to 4,292.72, 6,438.72 and 2,211.60 is: 3,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.72 : 6,438.72 = 2,211.60 : x
  2. Step 2: Convert to fraction form
    4,292.72/6,438.72 = 2,211.60/x
  3. Step 3: Cross multiply
    4,292.72x = 6,438.72 × 2,211.60
  4. Step 4: Simplify right side
    4,292.72x = 14,239,873.15
  5. Step 5: Solve for x
    x = 14,239,873.15/4,292.72
  6. Step 6: Final answer
    x = 3,317.21

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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.