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Finding the Fourth Proportional to 4,611.02, 6,907.02 and 2,413.10

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Solution

The fourth proportional to 4,611.02, 6,907.02 and 2,413.10 is: 3,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.02 : 6,907.02 = 2,413.10 : x
  2. Step 2: Convert to fraction form
    4,611.02/6,907.02 = 2,413.10/x
  3. Step 3: Cross multiply
    4,611.02x = 6,907.02 × 2,413.10
  4. Step 4: Simplify right side
    4,611.02x = 16,667,329.96
  5. Step 5: Solve for x
    x = 16,667,329.96/4,611.02
  6. Step 6: Final answer
    x = 3,614.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.