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Finding the Fourth Proportional to 4,224.84, 5,827.54 and 2,651.56

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Solution

The fourth proportional to 4,224.84, 5,827.54 and 2,651.56 is: 3,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.84 : 5,827.54 = 2,651.56 : x
  2. Step 2: Convert to fraction form
    4,224.84/5,827.54 = 2,651.56/x
  3. Step 3: Cross multiply
    4,224.84x = 5,827.54 × 2,651.56
  4. Step 4: Simplify right side
    4,224.84x = 15,452,071.96
  5. Step 5: Solve for x
    x = 15,452,071.96/4,224.84
  6. Step 6: Final answer
    x = 3,657.43

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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.