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Finding the Fourth Proportional to 5,844.58, 8,766.88 and 1,949.00

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Solution

The fourth proportional to 5,844.58, 8,766.88 and 1,949.00 is: 2,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.58 : 8,766.88 = 1,949.00 : x
  2. Step 2: Convert to fraction form
    5,844.58/8,766.88 = 1,949.00/x
  3. Step 3: Cross multiply
    5,844.58x = 8,766.88 × 1,949.00
  4. Step 4: Simplify right side
    5,844.58x = 17,086,600.41
  5. Step 5: Solve for x
    x = 17,086,600.41/5,844.58
  6. Step 6: Final answer
    x = 2,923.50

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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.