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Finding the Fourth Proportional to 4,304.42, 6,455.88 and 1,963.88

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Solution

The fourth proportional to 4,304.42, 6,455.88 and 1,963.88 is: 2,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.42 : 6,455.88 = 1,963.88 : x
  2. Step 2: Convert to fraction form
    4,304.42/6,455.88 = 1,963.88/x
  3. Step 3: Cross multiply
    4,304.42x = 6,455.88 × 1,963.88
  4. Step 4: Simplify right side
    4,304.42x = 12,678,573.61
  5. Step 5: Solve for x
    x = 12,678,573.61/4,304.42
  6. Step 6: Final answer
    x = 2,945.48

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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.