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Finding the Fourth Proportional to 4,186.34, 6,279.34 and 1,264.56

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Solution

The fourth proportional to 4,186.34, 6,279.34 and 1,264.56 is: 1,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.34 : 6,279.34 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    4,186.34/6,279.34 = 1,264.56/x
  3. Step 3: Cross multiply
    4,186.34x = 6,279.34 × 1,264.56
  4. Step 4: Simplify right side
    4,186.34x = 7,940,602.19
  5. Step 5: Solve for x
    x = 7,940,602.19/4,186.34
  6. Step 6: Final answer
    x = 1,896.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.