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Finding the Fourth Proportional to 4,346.84, 5,994.78 and 3,413.72

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Solution

The fourth proportional to 4,346.84, 5,994.78 and 3,413.72 is: 4,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.84 : 5,994.78 = 3,413.72 : x
  2. Step 2: Convert to fraction form
    4,346.84/5,994.78 = 3,413.72/x
  3. Step 3: Cross multiply
    4,346.84x = 5,994.78 × 3,413.72
  4. Step 4: Simplify right side
    4,346.84x = 20,464,500.38
  5. Step 5: Solve for x
    x = 20,464,500.38/4,346.84
  6. Step 6: Final answer
    x = 4,707.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.