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Finding the Fourth Proportional to 5,876.48, 8,817.60 and 2,413.76

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Solution

The fourth proportional to 5,876.48, 8,817.60 and 2,413.76 is: 3,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.48 : 8,817.60 = 2,413.76 : x
  2. Step 2: Convert to fraction form
    5,876.48/8,817.60 = 2,413.76/x
  3. Step 3: Cross multiply
    5,876.48x = 8,817.60 × 2,413.76
  4. Step 4: Simplify right side
    5,876.48x = 21,283,570.18
  5. Step 5: Solve for x
    x = 21,283,570.18/5,876.48
  6. Step 6: Final answer
    x = 3,621.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.