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Finding the Fourth Proportional to 4,304.40, 6,425.22 and 3,786

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Solution

The fourth proportional to 4,304.40, 6,425.22 and 3,786 is: 5,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.40 : 6,425.22 = 3,786 : x
  2. Step 2: Convert to fraction form
    4,304.40/6,425.22 = 3,786/x
  3. Step 3: Cross multiply
    4,304.40x = 6,425.22 × 3,786
  4. Step 4: Simplify right side
    4,304.40x = 24,325,882.92
  5. Step 5: Solve for x
    x = 24,325,882.92/4,304.40
  6. Step 6: Final answer
    x = 5,651.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.