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Finding the Fourth Proportional to 3,736.96, 5,604.96 and 1,271.68

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Solution

The fourth proportional to 3,736.96, 5,604.96 and 1,271.68 is: 1,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.96 : 5,604.96 = 1,271.68 : x
  2. Step 2: Convert to fraction form
    3,736.96/5,604.96 = 1,271.68/x
  3. Step 3: Cross multiply
    3,736.96x = 5,604.96 × 1,271.68
  4. Step 4: Simplify right side
    3,736.96x = 7,127,715.53
  5. Step 5: Solve for x
    x = 7,127,715.53/3,736.96
  6. Step 6: Final answer
    x = 1,907.36

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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.