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Finding the Fourth Proportional to 5,875.95, 8,813.81 and 2,413.23

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Solution

The fourth proportional to 5,875.95, 8,813.81 and 2,413.23 is: 3,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.95 : 8,813.81 = 2,413.23 : x
  2. Step 2: Convert to fraction form
    5,875.95/8,813.81 = 2,413.23/x
  3. Step 3: Cross multiply
    5,875.95x = 8,813.81 × 2,413.23
  4. Step 4: Simplify right side
    5,875.95x = 21,269,738.64
  5. Step 5: Solve for x
    x = 21,269,738.64/5,875.95
  6. Step 6: Final answer
    x = 3,619.80

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Why These Related Problems?

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