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Finding the Fourth Proportional to 5,308.68, 7,963.20 and 1,413.48

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Solution

The fourth proportional to 5,308.68, 7,963.20 and 1,413.48 is: 2,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.68 : 7,963.20 = 1,413.48 : x
  2. Step 2: Convert to fraction form
    5,308.68/7,963.20 = 1,413.48/x
  3. Step 3: Cross multiply
    5,308.68x = 7,963.20 × 1,413.48
  4. Step 4: Simplify right side
    5,308.68x = 11,255,823.94
  5. Step 5: Solve for x
    x = 11,255,823.94/5,308.68
  6. Step 6: Final answer
    x = 2,120.27

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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.