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Finding the Fourth Proportional to 5,011.70, 6,900.31 and 4,413.78

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Solution

The fourth proportional to 5,011.70, 6,900.31 and 4,413.78 is: 6,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.70 : 6,900.31 = 4,413.78 : x
  2. Step 2: Convert to fraction form
    5,011.70/6,900.31 = 4,413.78/x
  3. Step 3: Cross multiply
    5,011.70x = 6,900.31 × 4,413.78
  4. Step 4: Simplify right side
    5,011.70x = 30,456,393.70
  5. Step 5: Solve for x
    x = 30,456,393.70/5,011.70
  6. Step 6: Final answer
    x = 6,077.06

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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.