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Finding the Fourth Proportional to 4,281, 6,414.98 and 3,051

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Solution

The fourth proportional to 4,281, 6,414.98 and 3,051 is: 4,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281 : 6,414.98 = 3,051 : x
  2. Step 2: Convert to fraction form
    4,281/6,414.98 = 3,051/x
  3. Step 3: Cross multiply
    4,281x = 6,414.98 × 3,051
  4. Step 4: Simplify right side
    4,281x = 19,572,103.98
  5. Step 5: Solve for x
    x = 19,572,103.98/4,281
  6. Step 6: Final answer
    x = 4,571.85

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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.