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Finding the Fourth Proportional to 5,211.16, 7,811.26 and 1,922.16

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Solution

The fourth proportional to 5,211.16, 7,811.26 and 1,922.16 is: 2,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.16 : 7,811.26 = 1,922.16 : x
  2. Step 2: Convert to fraction form
    5,211.16/7,811.26 = 1,922.16/x
  3. Step 3: Cross multiply
    5,211.16x = 7,811.26 × 1,922.16
  4. Step 4: Simplify right side
    5,211.16x = 15,014,491.52
  5. Step 5: Solve for x
    x = 15,014,491.52/5,211.16
  6. Step 6: Final answer
    x = 2,881.22

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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.