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Finding the Fourth Proportional to 4,876.65, 7,314.42 and 1,413.90

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Solution

The fourth proportional to 4,876.65, 7,314.42 and 1,413.90 is: 2,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.65 : 7,314.42 = 1,413.90 : x
  2. Step 2: Convert to fraction form
    4,876.65/7,314.42 = 1,413.90/x
  3. Step 3: Cross multiply
    4,876.65x = 7,314.42 × 1,413.90
  4. Step 4: Simplify right side
    4,876.65x = 10,341,858.44
  5. Step 5: Solve for x
    x = 10,341,858.44/4,876.65
  6. Step 6: Final answer
    x = 2,120.69

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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.