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Finding the Fourth Proportional to 6,460.40, 9,682.56 and 3,689.36

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Solution

The fourth proportional to 6,460.40, 9,682.56 and 3,689.36 is: 5,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.40 : 9,682.56 = 3,689.36 : x
  2. Step 2: Convert to fraction form
    6,460.40/9,682.56 = 3,689.36/x
  3. Step 3: Cross multiply
    6,460.40x = 9,682.56 × 3,689.36
  4. Step 4: Simplify right side
    6,460.40x = 35,722,449.56
  5. Step 5: Solve for x
    x = 35,722,449.56/6,460.40
  6. Step 6: Final answer
    x = 5,529.45

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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.