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Finding the Fourth Proportional to 5,225.78, 7,838.90 and 2,063.22

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Solution

The fourth proportional to 5,225.78, 7,838.90 and 2,063.22 is: 3,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.78 : 7,838.90 = 2,063.22 : x
  2. Step 2: Convert to fraction form
    5,225.78/7,838.90 = 2,063.22/x
  3. Step 3: Cross multiply
    5,225.78x = 7,838.90 × 2,063.22
  4. Step 4: Simplify right side
    5,225.78x = 16,173,336.06
  5. Step 5: Solve for x
    x = 16,173,336.06/5,225.78
  6. Step 6: Final answer
    x = 3,094.92

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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.