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Finding the Fourth Proportional to 3,775.82, 5,664.06 and 1,178.69

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Solution

The fourth proportional to 3,775.82, 5,664.06 and 1,178.69 is: 1,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.82 : 5,664.06 = 1,178.69 : x
  2. Step 2: Convert to fraction form
    3,775.82/5,664.06 = 1,178.69/x
  3. Step 3: Cross multiply
    3,775.82x = 5,664.06 × 1,178.69
  4. Step 4: Simplify right side
    3,775.82x = 6,676,142.56
  5. Step 5: Solve for x
    x = 6,676,142.56/3,775.82
  6. Step 6: Final answer
    x = 1,768.13

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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.