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Finding the Fourth Proportional to 4,402.96, 6,076.16 and 2,413.50

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Solution

The fourth proportional to 4,402.96, 6,076.16 and 2,413.50 is: 3,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.96 : 6,076.16 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    4,402.96/6,076.16 = 2,413.50/x
  3. Step 3: Cross multiply
    4,402.96x = 6,076.16 × 2,413.50
  4. Step 4: Simplify right side
    4,402.96x = 14,664,796.97
  5. Step 5: Solve for x
    x = 14,664,796.97/4,402.96
  6. Step 6: Final answer
    x = 3,330.67

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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.