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Finding the Fourth Proportional to 3,784, 5,675.96 and 1,477.12

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Solution

The fourth proportional to 3,784, 5,675.96 and 1,477.12 is: 2,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,675.96 = 1,477.12 : x
  2. Step 2: Convert to fraction form
    3,784/5,675.96 = 1,477.12/x
  3. Step 3: Cross multiply
    3,784x = 5,675.96 × 1,477.12
  4. Step 4: Simplify right side
    3,784x = 8,384,074.04
  5. Step 5: Solve for x
    x = 8,384,074.04/3,784
  6. Step 6: Final answer
    x = 2,215.66

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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.