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Finding the Fourth Proportional to 3,407.74, 5,111.91 and 942.56

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Solution

The fourth proportional to 3,407.74, 5,111.91 and 942.56 is: 1,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.74 : 5,111.91 = 942.56 : x
  2. Step 2: Convert to fraction form
    3,407.74/5,111.91 = 942.56/x
  3. Step 3: Cross multiply
    3,407.74x = 5,111.91 × 942.56
  4. Step 4: Simplify right side
    3,407.74x = 4,818,281.89
  5. Step 5: Solve for x
    x = 4,818,281.89/3,407.74
  6. Step 6: Final answer
    x = 1,413.92

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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.