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Finding the Fourth Proportional to 4,333.34, 6,500.02 and 3,413.82

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Solution

The fourth proportional to 4,333.34, 6,500.02 and 3,413.82 is: 5,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.34 : 6,500.02 = 3,413.82 : x
  2. Step 2: Convert to fraction form
    4,333.34/6,500.02 = 3,413.82/x
  3. Step 3: Cross multiply
    4,333.34x = 6,500.02 × 3,413.82
  4. Step 4: Simplify right side
    4,333.34x = 22,189,898.28
  5. Step 5: Solve for x
    x = 22,189,898.28/4,333.34
  6. Step 6: Final answer
    x = 5,120.74

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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.