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Finding the Fourth Proportional to 3,407.96, 4,701.33 and 2,413.79

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Solution

The fourth proportional to 3,407.96, 4,701.33 and 2,413.79 is: 3,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.96 : 4,701.33 = 2,413.79 : x
  2. Step 2: Convert to fraction form
    3,407.96/4,701.33 = 2,413.79/x
  3. Step 3: Cross multiply
    3,407.96x = 4,701.33 × 2,413.79
  4. Step 4: Simplify right side
    3,407.96x = 11,348,023.34
  5. Step 5: Solve for x
    x = 11,348,023.34/3,407.96
  6. Step 6: Final answer
    x = 3,329.86

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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.