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Finding the Fourth Proportional to 5,432.54, 7,496.84 and 3,074.67

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Solution

The fourth proportional to 5,432.54, 7,496.84 and 3,074.67 is: 4,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.54 : 7,496.84 = 3,074.67 : x
  2. Step 2: Convert to fraction form
    5,432.54/7,496.84 = 3,074.67/x
  3. Step 3: Cross multiply
    5,432.54x = 7,496.84 × 3,074.67
  4. Step 4: Simplify right side
    5,432.54x = 23,050,309.04
  5. Step 5: Solve for x
    x = 23,050,309.04/5,432.54
  6. Step 6: Final answer
    x = 4,243.01

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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.