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Finding the Fourth Proportional to 4,823.85, 7,229.55 and 4,771.61

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Solution

The fourth proportional to 4,823.85, 7,229.55 and 4,771.61 is: 7,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.85 : 7,229.55 = 4,771.61 : x
  2. Step 2: Convert to fraction form
    4,823.85/7,229.55 = 4,771.61/x
  3. Step 3: Cross multiply
    4,823.85x = 7,229.55 × 4,771.61
  4. Step 4: Simplify right side
    4,823.85x = 34,496,601.93
  5. Step 5: Solve for x
    x = 34,496,601.93/4,823.85
  6. Step 6: Final answer
    x = 7,151.25

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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.