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Finding the Fourth Proportional to 3,092.57, 4,635.10 and 1,337.10

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Solution

The fourth proportional to 3,092.57, 4,635.10 and 1,337.10 is: 2,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.57 : 4,635.10 = 1,337.10 : x
  2. Step 2: Convert to fraction form
    3,092.57/4,635.10 = 1,337.10/x
  3. Step 3: Cross multiply
    3,092.57x = 4,635.10 × 1,337.10
  4. Step 4: Simplify right side
    3,092.57x = 6,197,592.21
  5. Step 5: Solve for x
    x = 6,197,592.21/3,092.57
  6. Step 6: Final answer
    x = 2,004.03

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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.