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Finding the Fourth Proportional to 5,220.91, 7,826.50 and 3,578.23

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Solution

The fourth proportional to 5,220.91, 7,826.50 and 3,578.23 is: 5,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.91 : 7,826.50 = 3,578.23 : x
  2. Step 2: Convert to fraction form
    5,220.91/7,826.50 = 3,578.23/x
  3. Step 3: Cross multiply
    5,220.91x = 7,826.50 × 3,578.23
  4. Step 4: Simplify right side
    5,220.91x = 28,005,017.10
  5. Step 5: Solve for x
    x = 28,005,017.10/5,220.91
  6. Step 6: Final answer
    x = 5,364.01

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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.