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Finding the Fourth Proportional to 3,223.41, 4,830.93 and 3,188.58

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Solution

The fourth proportional to 3,223.41, 4,830.93 and 3,188.58 is: 4,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.41 : 4,830.93 = 3,188.58 : x
  2. Step 2: Convert to fraction form
    3,223.41/4,830.93 = 3,188.58/x
  3. Step 3: Cross multiply
    3,223.41x = 4,830.93 × 3,188.58
  4. Step 4: Simplify right side
    3,223.41x = 15,403,806.78
  5. Step 5: Solve for x
    x = 15,403,806.78/3,223.41
  6. Step 6: Final answer
    x = 4,778.73

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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.