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Finding the Fourth Proportional to 5,460.82, 7,529.94 and 3,689.34

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Solution

The fourth proportional to 5,460.82, 7,529.94 and 3,689.34 is: 5,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.82 : 7,529.94 = 3,689.34 : x
  2. Step 2: Convert to fraction form
    5,460.82/7,529.94 = 3,689.34/x
  3. Step 3: Cross multiply
    5,460.82x = 7,529.94 × 3,689.34
  4. Step 4: Simplify right side
    5,460.82x = 27,780,508.84
  5. Step 5: Solve for x
    x = 27,780,508.84/5,460.82
  6. Step 6: Final answer
    x = 5,087.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.