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Finding the Fourth Proportional to 4,838.64, 6,674.44 and 3,664.24

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Solution

The fourth proportional to 4,838.64, 6,674.44 and 3,664.24 is: 5,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.64 : 6,674.44 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    4,838.64/6,674.44 = 3,664.24/x
  3. Step 3: Cross multiply
    4,838.64x = 6,674.44 × 3,664.24
  4. Step 4: Simplify right side
    4,838.64x = 24,456,750.03
  5. Step 5: Solve for x
    x = 24,456,750.03/4,838.64
  6. Step 6: Final answer
    x = 5,054.47

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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.