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Finding the Fourth Proportional to 3,802.64, 5,702.88 and 2,413.88

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Solution

The fourth proportional to 3,802.64, 5,702.88 and 2,413.88 is: 3,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.64 : 5,702.88 = 2,413.88 : x
  2. Step 2: Convert to fraction form
    3,802.64/5,702.88 = 2,413.88/x
  3. Step 3: Cross multiply
    3,802.64x = 5,702.88 × 2,413.88
  4. Step 4: Simplify right side
    3,802.64x = 13,766,067.97
  5. Step 5: Solve for x
    x = 13,766,067.97/3,802.64
  6. Step 6: Final answer
    x = 3,620.13

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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.