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Finding the Fourth Proportional to 5,306.57, 7,960.01 and 2,533.53

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Solution

The fourth proportional to 5,306.57, 7,960.01 and 2,533.53 is: 3,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.57 : 7,960.01 = 2,533.53 : x
  2. Step 2: Convert to fraction form
    5,306.57/7,960.01 = 2,533.53/x
  3. Step 3: Cross multiply
    5,306.57x = 7,960.01 × 2,533.53
  4. Step 4: Simplify right side
    5,306.57x = 20,166,911.47
  5. Step 5: Solve for x
    x = 20,166,911.47/5,306.57
  6. Step 6: Final answer
    x = 3,800.37

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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.