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Finding the Fourth Proportional to 5,956.94, 8,934.33 and 2,257.95

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Solution

The fourth proportional to 5,956.94, 8,934.33 and 2,257.95 is: 3,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.94 : 8,934.33 = 2,257.95 : x
  2. Step 2: Convert to fraction form
    5,956.94/8,934.33 = 2,257.95/x
  3. Step 3: Cross multiply
    5,956.94x = 8,934.33 × 2,257.95
  4. Step 4: Simplify right side
    5,956.94x = 20,173,270.42
  5. Step 5: Solve for x
    x = 20,173,270.42/5,956.94
  6. Step 6: Final answer
    x = 3,386.52

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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.