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Finding the Fourth Proportional to 5,330.40, 7,983.24 and 5,145.84

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Solution

The fourth proportional to 5,330.40, 7,983.24 and 5,145.84 is: 7,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.40 : 7,983.24 = 5,145.84 : x
  2. Step 2: Convert to fraction form
    5,330.40/7,983.24 = 5,145.84/x
  3. Step 3: Cross multiply
    5,330.40x = 7,983.24 × 5,145.84
  4. Step 4: Simplify right side
    5,330.40x = 41,080,475.72
  5. Step 5: Solve for x
    x = 41,080,475.72/5,330.40
  6. Step 6: Final answer
    x = 7,706.83

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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.