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Finding the Fourth Proportional to 3,975.84, 5,488.38 and 2,634.98

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Solution

The fourth proportional to 3,975.84, 5,488.38 and 2,634.98 is: 3,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.84 : 5,488.38 = 2,634.98 : x
  2. Step 2: Convert to fraction form
    3,975.84/5,488.38 = 2,634.98/x
  3. Step 3: Cross multiply
    3,975.84x = 5,488.38 × 2,634.98
  4. Step 4: Simplify right side
    3,975.84x = 14,461,744.09
  5. Step 5: Solve for x
    x = 14,461,744.09/3,975.84
  6. Step 6: Final answer
    x = 3,637.41

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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.