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Finding the Fourth Proportional to 5,310.02, 7,950.42 and 4,007.54

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Solution

The fourth proportional to 5,310.02, 7,950.42 and 4,007.54 is: 6,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.02 : 7,950.42 = 4,007.54 : x
  2. Step 2: Convert to fraction form
    5,310.02/7,950.42 = 4,007.54/x
  3. Step 3: Cross multiply
    5,310.02x = 7,950.42 × 4,007.54
  4. Step 4: Simplify right side
    5,310.02x = 31,861,626.17
  5. Step 5: Solve for x
    x = 31,861,626.17/5,310.02
  6. Step 6: Final answer
    x = 6,000.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.