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Finding the Fourth Proportional to 5,402.58, 8,096.34 and 3,028.53

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Solution

The fourth proportional to 5,402.58, 8,096.34 and 3,028.53 is: 4,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.58 : 8,096.34 = 3,028.53 : x
  2. Step 2: Convert to fraction form
    5,402.58/8,096.34 = 3,028.53/x
  3. Step 3: Cross multiply
    5,402.58x = 8,096.34 × 3,028.53
  4. Step 4: Simplify right side
    5,402.58x = 24,520,008.58
  5. Step 5: Solve for x
    x = 24,520,008.58/5,402.58
  6. Step 6: Final answer
    x = 4,538.57

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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.