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Finding the Fourth Proportional to 4,116, 6,174 and 1,652.52

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Solution

The fourth proportional to 4,116, 6,174 and 1,652.52 is: 2,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,174 = 1,652.52 : x
  2. Step 2: Convert to fraction form
    4,116/6,174 = 1,652.52/x
  3. Step 3: Cross multiply
    4,116x = 6,174 × 1,652.52
  4. Step 4: Simplify right side
    4,116x = 10,202,658.48
  5. Step 5: Solve for x
    x = 10,202,658.48/4,116
  6. Step 6: Final answer
    x = 2,478.78

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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.