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Finding the Fourth Proportional to 3,800.57, 5,702.57 and 2,413.54

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Solution

The fourth proportional to 3,800.57, 5,702.57 and 2,413.54 is: 3,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.57 : 5,702.57 = 2,413.54 : x
  2. Step 2: Convert to fraction form
    3,800.57/5,702.57 = 2,413.54/x
  3. Step 3: Cross multiply
    3,800.57x = 5,702.57 × 2,413.54
  4. Step 4: Simplify right side
    3,800.57x = 13,763,354.47
  5. Step 5: Solve for x
    x = 13,763,354.47/3,800.57
  6. Step 6: Final answer
    x = 3,621.39

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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.