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Finding the Fourth Proportional to 6,485.84, 8,950.38 and 3,653.36

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Solution

The fourth proportional to 6,485.84, 8,950.38 and 3,653.36 is: 5,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.84 : 8,950.38 = 3,653.36 : x
  2. Step 2: Convert to fraction form
    6,485.84/8,950.38 = 3,653.36/x
  3. Step 3: Cross multiply
    6,485.84x = 8,950.38 × 3,653.36
  4. Step 4: Simplify right side
    6,485.84x = 32,698,960.28
  5. Step 5: Solve for x
    x = 32,698,960.28/6,485.84
  6. Step 6: Final answer
    x = 5,041.59

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Why These Related Problems?

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