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Finding the Fourth Proportional to 5,332.67, 7,989.40 and 3,140.20

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Solution

The fourth proportional to 5,332.67, 7,989.40 and 3,140.20 is: 4,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.67 : 7,989.40 = 3,140.20 : x
  2. Step 2: Convert to fraction form
    5,332.67/7,989.40 = 3,140.20/x
  3. Step 3: Cross multiply
    5,332.67x = 7,989.40 × 3,140.20
  4. Step 4: Simplify right side
    5,332.67x = 25,088,313.88
  5. Step 5: Solve for x
    x = 25,088,313.88/5,332.67
  6. Step 6: Final answer
    x = 4,704.64

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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.