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Finding the Fourth Proportional to 3,172.09, 4,756.64 and 950.07

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Solution

The fourth proportional to 3,172.09, 4,756.64 and 950.07 is: 1,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.09 : 4,756.64 = 950.07 : x
  2. Step 2: Convert to fraction form
    3,172.09/4,756.64 = 950.07/x
  3. Step 3: Cross multiply
    3,172.09x = 4,756.64 × 950.07
  4. Step 4: Simplify right side
    3,172.09x = 4,519,138.00
  5. Step 5: Solve for x
    x = 4,519,138.00/3,172.09
  6. Step 6: Final answer
    x = 1,424.65

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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.