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Finding the Fourth Proportional to 3,934.84, 5,436.04 and 2,938.40

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Solution

The fourth proportional to 3,934.84, 5,436.04 and 2,938.40 is: 4,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.84 : 5,436.04 = 2,938.40 : x
  2. Step 2: Convert to fraction form
    3,934.84/5,436.04 = 2,938.40/x
  3. Step 3: Cross multiply
    3,934.84x = 5,436.04 × 2,938.40
  4. Step 4: Simplify right side
    3,934.84x = 15,973,232.76
  5. Step 5: Solve for x
    x = 15,973,232.76/3,934.84
  6. Step 6: Final answer
    x = 4,059.44

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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.