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Finding the Fourth Proportional to 4,647.75, 6,413.90 and 2,552.01

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Solution

The fourth proportional to 4,647.75, 6,413.90 and 2,552.01 is: 3,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.75 : 6,413.90 = 2,552.01 : x
  2. Step 2: Convert to fraction form
    4,647.75/6,413.90 = 2,552.01/x
  3. Step 3: Cross multiply
    4,647.75x = 6,413.90 × 2,552.01
  4. Step 4: Simplify right side
    4,647.75x = 16,368,324.18
  5. Step 5: Solve for x
    x = 16,368,324.18/4,647.75
  6. Step 6: Final answer
    x = 3,521.77

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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.