Home / 3,583-5,371.86-2,413.24

Finding the Fourth Proportional to 3,583, 5,371.86 and 2,413.24

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Solution

The fourth proportional to 3,583, 5,371.86 and 2,413.24 is: 3,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583 : 5,371.86 = 2,413.24 : x
  2. Step 2: Convert to fraction form
    3,583/5,371.86 = 2,413.24/x
  3. Step 3: Cross multiply
    3,583x = 5,371.86 × 2,413.24
  4. Step 4: Simplify right side
    3,583x = 12,963,587.43
  5. Step 5: Solve for x
    x = 12,963,587.43/3,583
  6. Step 6: Final answer
    x = 3,618.08

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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.