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Finding the Fourth Proportional to 4,335.67, 6,502.83 and 1,413.33

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Solution

The fourth proportional to 4,335.67, 6,502.83 and 1,413.33 is: 2,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.67 : 6,502.83 = 1,413.33 : x
  2. Step 2: Convert to fraction form
    4,335.67/6,502.83 = 1,413.33/x
  3. Step 3: Cross multiply
    4,335.67x = 6,502.83 × 1,413.33
  4. Step 4: Simplify right side
    4,335.67x = 9,190,644.72
  5. Step 5: Solve for x
    x = 9,190,644.72/4,335.67
  6. Step 6: Final answer
    x = 2,119.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.