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Finding the Fourth Proportional to 5,178.88, 7,766.70 and 1,891.36

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Solution

The fourth proportional to 5,178.88, 7,766.70 and 1,891.36 is: 2,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.88 : 7,766.70 = 1,891.36 : x
  2. Step 2: Convert to fraction form
    5,178.88/7,766.70 = 1,891.36/x
  3. Step 3: Cross multiply
    5,178.88x = 7,766.70 × 1,891.36
  4. Step 4: Simplify right side
    5,178.88x = 14,689,625.71
  5. Step 5: Solve for x
    x = 14,689,625.71/5,178.88
  6. Step 6: Final answer
    x = 2,836.45

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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.