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Finding the Fourth Proportional to 4,661.70, 6,975.27 and 2,611.14

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Solution

The fourth proportional to 4,661.70, 6,975.27 and 2,611.14 is: 3,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.70 : 6,975.27 = 2,611.14 : x
  2. Step 2: Convert to fraction form
    4,661.70/6,975.27 = 2,611.14/x
  3. Step 3: Cross multiply
    4,661.70x = 6,975.27 × 2,611.14
  4. Step 4: Simplify right side
    4,661.70x = 18,213,406.51
  5. Step 5: Solve for x
    x = 18,213,406.51/4,661.70
  6. Step 6: Final answer
    x = 3,907.03

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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.