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Finding the Fourth Proportional to 4,377.76, 6,041.84 and 3,198.24

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Solution

The fourth proportional to 4,377.76, 6,041.84 and 3,198.24 is: 4,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.76 : 6,041.84 = 3,198.24 : x
  2. Step 2: Convert to fraction form
    4,377.76/6,041.84 = 3,198.24/x
  3. Step 3: Cross multiply
    4,377.76x = 6,041.84 × 3,198.24
  4. Step 4: Simplify right side
    4,377.76x = 19,323,254.36
  5. Step 5: Solve for x
    x = 19,323,254.36/4,377.76
  6. Step 6: Final answer
    x = 4,413.96

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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.