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Finding the Fourth Proportional to 5,182.44, 7,773.39 and 1,895.19

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Solution

The fourth proportional to 5,182.44, 7,773.39 and 1,895.19 is: 2,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.44 : 7,773.39 = 1,895.19 : x
  2. Step 2: Convert to fraction form
    5,182.44/7,773.39 = 1,895.19/x
  3. Step 3: Cross multiply
    5,182.44x = 7,773.39 × 1,895.19
  4. Step 4: Simplify right side
    5,182.44x = 14,732,050.99
  5. Step 5: Solve for x
    x = 14,732,050.99/5,182.44
  6. Step 6: Final answer
    x = 2,842.69

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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.