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Finding the Fourth Proportional to 5,289.90, 7,935.96 and 2,002.92

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Solution

The fourth proportional to 5,289.90, 7,935.96 and 2,002.92 is: 3,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.90 : 7,935.96 = 2,002.92 : x
  2. Step 2: Convert to fraction form
    5,289.90/7,935.96 = 2,002.92/x
  3. Step 3: Cross multiply
    5,289.90x = 7,935.96 × 2,002.92
  4. Step 4: Simplify right side
    5,289.90x = 15,895,093.00
  5. Step 5: Solve for x
    x = 15,895,093.00/5,289.90
  6. Step 6: Final answer
    x = 3,004.80

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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.