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Finding the Fourth Proportional to 3,407.72, 5,111.15 and 942.71

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Solution

The fourth proportional to 3,407.72, 5,111.15 and 942.71 is: 1,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.72 : 5,111.15 = 942.71 : x
  2. Step 2: Convert to fraction form
    3,407.72/5,111.15 = 942.71/x
  3. Step 3: Cross multiply
    3,407.72x = 5,111.15 × 942.71
  4. Step 4: Simplify right side
    3,407.72x = 4,818,301.95
  5. Step 5: Solve for x
    x = 4,818,301.95/3,407.72
  6. Step 6: Final answer
    x = 1,413.94

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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.