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Finding the Fourth Proportional to 4,648.60, 6,413.49 and 2,657.75

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Solution

The fourth proportional to 4,648.60, 6,413.49 and 2,657.75 is: 3,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.60 : 6,413.49 = 2,657.75 : x
  2. Step 2: Convert to fraction form
    4,648.60/6,413.49 = 2,657.75/x
  3. Step 3: Cross multiply
    4,648.60x = 6,413.49 × 2,657.75
  4. Step 4: Simplify right side
    4,648.60x = 17,045,420.98
  5. Step 5: Solve for x
    x = 17,045,420.98/4,648.60
  6. Step 6: Final answer
    x = 3,666.79

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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.