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Finding the Fourth Proportional to 3,407.82, 5,111.70 and 942.66

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Solution

The fourth proportional to 3,407.82, 5,111.70 and 942.66 is: 1,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.82 : 5,111.70 = 942.66 : x
  2. Step 2: Convert to fraction form
    3,407.82/5,111.70 = 942.66/x
  3. Step 3: Cross multiply
    3,407.82x = 5,111.70 × 942.66
  4. Step 4: Simplify right side
    3,407.82x = 4,818,595.12
  5. Step 5: Solve for x
    x = 4,818,595.12/3,407.82
  6. Step 6: Final answer
    x = 1,413.98

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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.