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Finding the Fourth Proportional to 4,645.48, 6,413.25 and 3,580.92

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Solution

The fourth proportional to 4,645.48, 6,413.25 and 3,580.92 is: 4,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.48 : 6,413.25 = 3,580.92 : x
  2. Step 2: Convert to fraction form
    4,645.48/6,413.25 = 3,580.92/x
  3. Step 3: Cross multiply
    4,645.48x = 6,413.25 × 3,580.92
  4. Step 4: Simplify right side
    4,645.48x = 22,965,335.19
  5. Step 5: Solve for x
    x = 22,965,335.19/4,645.48
  6. Step 6: Final answer
    x = 4,943.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.