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Finding the Fourth Proportional to 5,096.56, 7,045.50 and 4,571.68

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Solution

The fourth proportional to 5,096.56, 7,045.50 and 4,571.68 is: 6,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.56 : 7,045.50 = 4,571.68 : x
  2. Step 2: Convert to fraction form
    5,096.56/7,045.50 = 4,571.68/x
  3. Step 3: Cross multiply
    5,096.56x = 7,045.50 × 4,571.68
  4. Step 4: Simplify right side
    5,096.56x = 32,209,771.44
  5. Step 5: Solve for x
    x = 32,209,771.44/5,096.56
  6. Step 6: Final answer
    x = 6,319.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.