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Finding the Fourth Proportional to 4,846.68, 6,684.48 and 3,253.64

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Solution

The fourth proportional to 4,846.68, 6,684.48 and 3,253.64 is: 4,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.68 : 6,684.48 = 3,253.64 : x
  2. Step 2: Convert to fraction form
    4,846.68/6,684.48 = 3,253.64/x
  3. Step 3: Cross multiply
    4,846.68x = 6,684.48 × 3,253.64
  4. Step 4: Simplify right side
    4,846.68x = 21,748,891.51
  5. Step 5: Solve for x
    x = 21,748,891.51/4,846.68
  6. Step 6: Final answer
    x = 4,487.38

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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.