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Finding the Fourth Proportional to 5,213.84, 7,192.19 and 3,222.99

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Solution

The fourth proportional to 5,213.84, 7,192.19 and 3,222.99 is: 4,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.84 : 7,192.19 = 3,222.99 : x
  2. Step 2: Convert to fraction form
    5,213.84/7,192.19 = 3,222.99/x
  3. Step 3: Cross multiply
    5,213.84x = 7,192.19 × 3,222.99
  4. Step 4: Simplify right side
    5,213.84x = 23,180,364.51
  5. Step 5: Solve for x
    x = 23,180,364.51/5,213.84
  6. Step 6: Final answer
    x = 4,445.93

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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.