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Finding the Fourth Proportional to 4,674.81, 7,013.74 and 3,270.68

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Solution

The fourth proportional to 4,674.81, 7,013.74 and 3,270.68 is: 4,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.81 : 7,013.74 = 3,270.68 : x
  2. Step 2: Convert to fraction form
    4,674.81/7,013.74 = 3,270.68/x
  3. Step 3: Cross multiply
    4,674.81x = 7,013.74 × 3,270.68
  4. Step 4: Simplify right side
    4,674.81x = 22,939,699.14
  5. Step 5: Solve for x
    x = 22,939,699.14/4,674.81
  6. Step 6: Final answer
    x = 4,907.09

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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.