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Finding the Fourth Proportional to 4,647.60, 6,413.40 and 4,276.08

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Solution

The fourth proportional to 4,647.60, 6,413.40 and 4,276.08 is: 5,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.60 : 6,413.40 = 4,276.08 : x
  2. Step 2: Convert to fraction form
    4,647.60/6,413.40 = 4,276.08/x
  3. Step 3: Cross multiply
    4,647.60x = 6,413.40 × 4,276.08
  4. Step 4: Simplify right side
    4,647.60x = 27,424,211.47
  5. Step 5: Solve for x
    x = 27,424,211.47/4,647.60
  6. Step 6: Final answer
    x = 5,900.73

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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.