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Finding the Fourth Proportional to 5,432.94, 7,496.91 and 3,074.67

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Solution

The fourth proportional to 5,432.94, 7,496.91 and 3,074.67 is: 4,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.94 : 7,496.91 = 3,074.67 : x
  2. Step 2: Convert to fraction form
    5,432.94/7,496.91 = 3,074.67/x
  3. Step 3: Cross multiply
    5,432.94x = 7,496.91 × 3,074.67
  4. Step 4: Simplify right side
    5,432.94x = 23,050,524.27
  5. Step 5: Solve for x
    x = 23,050,524.27/5,432.94
  6. Step 6: Final answer
    x = 4,242.73

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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.