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Finding the Fourth Proportional to 3,463.84, 5,198.22 and 2,685.64

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Solution

The fourth proportional to 3,463.84, 5,198.22 and 2,685.64 is: 4,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.84 : 5,198.22 = 2,685.64 : x
  2. Step 2: Convert to fraction form
    3,463.84/5,198.22 = 2,685.64/x
  3. Step 3: Cross multiply
    3,463.84x = 5,198.22 × 2,685.64
  4. Step 4: Simplify right side
    3,463.84x = 13,960,547.56
  5. Step 5: Solve for x
    x = 13,960,547.56/3,463.84
  6. Step 6: Final answer
    x = 4,030.37

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1.5x scale

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.