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Finding the Fourth Proportional to 3,521.30, 5,274.77 and 2,824.19

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Solution

The fourth proportional to 3,521.30, 5,274.77 and 2,824.19 is: 4,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.30 : 5,274.77 = 2,824.19 : x
  2. Step 2: Convert to fraction form
    3,521.30/5,274.77 = 2,824.19/x
  3. Step 3: Cross multiply
    3,521.30x = 5,274.77 × 2,824.19
  4. Step 4: Simplify right side
    3,521.30x = 14,896,962.69
  5. Step 5: Solve for x
    x = 14,896,962.69/3,521.30
  6. Step 6: Final answer
    x = 4,230.53

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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.