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Finding the Fourth Proportional to 3,656.54, 5,487.24 and 3,413.54

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Solution

The fourth proportional to 3,656.54, 5,487.24 and 3,413.54 is: 5,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.54 : 5,487.24 = 3,413.54 : x
  2. Step 2: Convert to fraction form
    3,656.54/5,487.24 = 3,413.54/x
  3. Step 3: Cross multiply
    3,656.54x = 5,487.24 × 3,413.54
  4. Step 4: Simplify right side
    3,656.54x = 18,730,913.23
  5. Step 5: Solve for x
    x = 18,730,913.23/3,656.54
  6. Step 6: Final answer
    x = 5,122.58

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1.5x scale

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.