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Finding the Fourth Proportional to 4,891.91, 7,338.44 and 1,559.00

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Solution

The fourth proportional to 4,891.91, 7,338.44 and 1,559.00 is: 2,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.91 : 7,338.44 = 1,559.00 : x
  2. Step 2: Convert to fraction form
    4,891.91/7,338.44 = 1,559.00/x
  3. Step 3: Cross multiply
    4,891.91x = 7,338.44 × 1,559.00
  4. Step 4: Simplify right side
    4,891.91x = 11,440,650.20
  5. Step 5: Solve for x
    x = 11,440,650.20/4,891.91
  6. Step 6: Final answer
    x = 2,338.69

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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.