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Finding the Fourth Proportional to 4,675.82, 6,445.05 and 4,413.38

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Solution

The fourth proportional to 4,675.82, 6,445.05 and 4,413.38 is: 6,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.82 : 6,445.05 = 4,413.38 : x
  2. Step 2: Convert to fraction form
    4,675.82/6,445.05 = 4,413.38/x
  3. Step 3: Cross multiply
    4,675.82x = 6,445.05 × 4,413.38
  4. Step 4: Simplify right side
    4,675.82x = 28,444,454.77
  5. Step 5: Solve for x
    x = 28,444,454.77/4,675.82
  6. Step 6: Final answer
    x = 6,083.31

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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.