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Finding the Fourth Proportional to 3,475.56, 5,214.12 and 1,167

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Solution

The fourth proportional to 3,475.56, 5,214.12 and 1,167 is: 1,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.56 : 5,214.12 = 1,167 : x
  2. Step 2: Convert to fraction form
    3,475.56/5,214.12 = 1,167/x
  3. Step 3: Cross multiply
    3,475.56x = 5,214.12 × 1,167
  4. Step 4: Simplify right side
    3,475.56x = 6,084,878.04
  5. Step 5: Solve for x
    x = 6,084,878.04/3,475.56
  6. Step 6: Final answer
    x = 1,750.76

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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.