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Finding the Fourth Proportional to 4,648.20, 6,413.20 and 3,598.44

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Solution

The fourth proportional to 4,648.20, 6,413.20 and 3,598.44 is: 4,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.20 : 6,413.20 = 3,598.44 : x
  2. Step 2: Convert to fraction form
    4,648.20/6,413.20 = 3,598.44/x
  3. Step 3: Cross multiply
    4,648.20x = 6,413.20 × 3,598.44
  4. Step 4: Simplify right side
    4,648.20x = 23,077,515.41
  5. Step 5: Solve for x
    x = 23,077,515.41/4,648.20
  6. Step 6: Final answer
    x = 4,964.83

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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.