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Finding the Fourth Proportional to 3,413.73, 4,712.52 and 2,574.78

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Solution

The fourth proportional to 3,413.73, 4,712.52 and 2,574.78 is: 3,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.73 : 4,712.52 = 2,574.78 : x
  2. Step 2: Convert to fraction form
    3,413.73/4,712.52 = 2,574.78/x
  3. Step 3: Cross multiply
    3,413.73x = 4,712.52 × 2,574.78
  4. Step 4: Simplify right side
    3,413.73x = 12,133,702.25
  5. Step 5: Solve for x
    x = 12,133,702.25/3,413.73
  6. Step 6: Final answer
    x = 3,554.38

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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.