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Finding the Fourth Proportional to 4,757.84, 7,126.35 and 2,413.80

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Solution

The fourth proportional to 4,757.84, 7,126.35 and 2,413.80 is: 3,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.84 : 7,126.35 = 2,413.80 : x
  2. Step 2: Convert to fraction form
    4,757.84/7,126.35 = 2,413.80/x
  3. Step 3: Cross multiply
    4,757.84x = 7,126.35 × 2,413.80
  4. Step 4: Simplify right side
    4,757.84x = 17,201,583.63
  5. Step 5: Solve for x
    x = 17,201,583.63/4,757.84
  6. Step 6: Final answer
    x = 3,615.42

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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.