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Finding the Fourth Proportional to 5,196.51, 7,798.50 and 2,074.73

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Solution

The fourth proportional to 5,196.51, 7,798.50 and 2,074.73 is: 3,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.51 : 7,798.50 = 2,074.73 : x
  2. Step 2: Convert to fraction form
    5,196.51/7,798.50 = 2,074.73/x
  3. Step 3: Cross multiply
    5,196.51x = 7,798.50 × 2,074.73
  4. Step 4: Simplify right side
    5,196.51x = 16,179,742.91
  5. Step 5: Solve for x
    x = 16,179,742.91/5,196.51
  6. Step 6: Final answer
    x = 3,113.58

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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.