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Finding the Fourth Proportional to 5,847.44, 8,774.98 and 2,149.70

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Solution

The fourth proportional to 5,847.44, 8,774.98 and 2,149.70 is: 3,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.44 : 8,774.98 = 2,149.70 : x
  2. Step 2: Convert to fraction form
    5,847.44/8,774.98 = 2,149.70/x
  3. Step 3: Cross multiply
    5,847.44x = 8,774.98 × 2,149.70
  4. Step 4: Simplify right side
    5,847.44x = 18,863,574.51
  5. Step 5: Solve for x
    x = 18,863,574.51/5,847.44
  6. Step 6: Final answer
    x = 3,225.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.