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Finding the Fourth Proportional to 3,486.72, 5,230.24 and 1,178.24

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Solution

The fourth proportional to 3,486.72, 5,230.24 and 1,178.24 is: 1,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.72 : 5,230.24 = 1,178.24 : x
  2. Step 2: Convert to fraction form
    3,486.72/5,230.24 = 1,178.24/x
  3. Step 3: Cross multiply
    3,486.72x = 5,230.24 × 1,178.24
  4. Step 4: Simplify right side
    3,486.72x = 6,162,477.98
  5. Step 5: Solve for x
    x = 6,162,477.98/3,486.72
  6. Step 6: Final answer
    x = 1,767.41

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1.5x scale

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.