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Finding the Fourth Proportional to 3,413.72, 5,120.64 and 1,465.94

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Solution

The fourth proportional to 3,413.72, 5,120.64 and 1,465.94 is: 2,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.72 : 5,120.64 = 1,465.94 : x
  2. Step 2: Convert to fraction form
    3,413.72/5,120.64 = 1,465.94/x
  3. Step 3: Cross multiply
    3,413.72x = 5,120.64 × 1,465.94
  4. Step 4: Simplify right side
    3,413.72x = 7,506,525.40
  5. Step 5: Solve for x
    x = 7,506,525.40/3,413.72
  6. Step 6: Final answer
    x = 2,198.93

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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.