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Finding the Fourth Proportional to 4,649.84, 6,975.97 and 2,700.38

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Solution

The fourth proportional to 4,649.84, 6,975.97 and 2,700.38 is: 4,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.84 : 6,975.97 = 2,700.38 : x
  2. Step 2: Convert to fraction form
    4,649.84/6,975.97 = 2,700.38/x
  3. Step 3: Cross multiply
    4,649.84x = 6,975.97 × 2,700.38
  4. Step 4: Simplify right side
    4,649.84x = 18,837,769.87
  5. Step 5: Solve for x
    x = 18,837,769.87/4,649.84
  6. Step 6: Final answer
    x = 4,051.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.