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Finding the Fourth Proportional to 5,325.31, 7,350.24 and 3,439

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Solution

The fourth proportional to 5,325.31, 7,350.24 and 3,439 is: 4,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.31 : 7,350.24 = 3,439 : x
  2. Step 2: Convert to fraction form
    5,325.31/7,350.24 = 3,439/x
  3. Step 3: Cross multiply
    5,325.31x = 7,350.24 × 3,439
  4. Step 4: Simplify right side
    5,325.31x = 25,277,475.36
  5. Step 5: Solve for x
    x = 25,277,475.36/5,325.31
  6. Step 6: Final answer
    x = 4,746.67

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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.