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Finding the Fourth Proportional to 4,275.72, 6,413.50 and 1,197.72

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Solution

The fourth proportional to 4,275.72, 6,413.50 and 1,197.72 is: 1,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.72 : 6,413.50 = 1,197.72 : x
  2. Step 2: Convert to fraction form
    4,275.72/6,413.50 = 1,197.72/x
  3. Step 3: Cross multiply
    4,275.72x = 6,413.50 × 1,197.72
  4. Step 4: Simplify right side
    4,275.72x = 7,681,577.22
  5. Step 5: Solve for x
    x = 7,681,577.22/4,275.72
  6. Step 6: Final answer
    x = 1,796.56

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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.