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Finding the Fourth Proportional to 4,647.25, 6,413.54 and 2,657.76

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Solution

The fourth proportional to 4,647.25, 6,413.54 and 2,657.76 is: 3,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.25 : 6,413.54 = 2,657.76 : x
  2. Step 2: Convert to fraction form
    4,647.25/6,413.54 = 2,657.76/x
  3. Step 3: Cross multiply
    4,647.25x = 6,413.54 × 2,657.76
  4. Step 4: Simplify right side
    4,647.25x = 17,045,650.07
  5. Step 5: Solve for x
    x = 17,045,650.07/4,647.25
  6. Step 6: Final answer
    x = 3,667.90

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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.