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Finding the Fourth Proportional to 4,855.78, 7,283.67 and 1,934.11

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Solution

The fourth proportional to 4,855.78, 7,283.67 and 1,934.11 is: 2,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.78 : 7,283.67 = 1,934.11 : x
  2. Step 2: Convert to fraction form
    4,855.78/7,283.67 = 1,934.11/x
  3. Step 3: Cross multiply
    4,855.78x = 7,283.67 × 1,934.11
  4. Step 4: Simplify right side
    4,855.78x = 14,087,418.98
  5. Step 5: Solve for x
    x = 14,087,418.98/4,855.78
  6. Step 6: Final answer
    x = 2,901.17

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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.