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Finding the Fourth Proportional to 6,493.84, 8,960.52 and 3,698.96

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Solution

The fourth proportional to 6,493.84, 8,960.52 and 3,698.96 is: 5,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.84 : 8,960.52 = 3,698.96 : x
  2. Step 2: Convert to fraction form
    6,493.84/8,960.52 = 3,698.96/x
  3. Step 3: Cross multiply
    6,493.84x = 8,960.52 × 3,698.96
  4. Step 4: Simplify right side
    6,493.84x = 33,144,605.06
  5. Step 5: Solve for x
    x = 33,144,605.06/6,493.84
  6. Step 6: Final answer
    x = 5,104.01

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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.