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Finding the Fourth Proportional to 5,493.71, 8,236.65 and 2,570.42

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Solution

The fourth proportional to 5,493.71, 8,236.65 and 2,570.42 is: 3,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.71 : 8,236.65 = 2,570.42 : x
  2. Step 2: Convert to fraction form
    5,493.71/8,236.65 = 2,570.42/x
  3. Step 3: Cross multiply
    5,493.71x = 8,236.65 × 2,570.42
  4. Step 4: Simplify right side
    5,493.71x = 21,171,649.89
  5. Step 5: Solve for x
    x = 21,171,649.89/5,493.71
  6. Step 6: Final answer
    x = 3,853.80

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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.