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Finding the Fourth Proportional to 5,770.78, 7,963.68 and 3,413.08

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Solution

The fourth proportional to 5,770.78, 7,963.68 and 3,413.08 is: 4,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.78 : 7,963.68 = 3,413.08 : x
  2. Step 2: Convert to fraction form
    5,770.78/7,963.68 = 3,413.08/x
  3. Step 3: Cross multiply
    5,770.78x = 7,963.68 × 3,413.08
  4. Step 4: Simplify right side
    5,770.78x = 27,180,676.93
  5. Step 5: Solve for x
    x = 27,180,676.93/5,770.78
  6. Step 6: Final answer
    x = 4,710.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.