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Finding the Fourth Proportional to 2,957.86, 4,413.59 and 2,647.57

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Solution

The fourth proportional to 2,957.86, 4,413.59 and 2,647.57 is: 3,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.86 : 4,413.59 = 2,647.57 : x
  2. Step 2: Convert to fraction form
    2,957.86/4,413.59 = 2,647.57/x
  3. Step 3: Cross multiply
    2,957.86x = 4,413.59 × 2,647.57
  4. Step 4: Simplify right side
    2,957.86x = 11,685,288.48
  5. Step 5: Solve for x
    x = 11,685,288.48/2,957.86
  6. Step 6: Final answer
    x = 3,950.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.