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Finding the Fourth Proportional to 5,830.75, 8,046.48 and 3,472.75

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Solution

The fourth proportional to 5,830.75, 8,046.48 and 3,472.75 is: 4,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.75 : 8,046.48 = 3,472.75 : x
  2. Step 2: Convert to fraction form
    5,830.75/8,046.48 = 3,472.75/x
  3. Step 3: Cross multiply
    5,830.75x = 8,046.48 × 3,472.75
  4. Step 4: Simplify right side
    5,830.75x = 27,943,413.42
  5. Step 5: Solve for x
    x = 27,943,413.42/5,830.75
  6. Step 6: Final answer
    x = 4,792.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.