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Finding the Fourth Proportional to 5,134.94, 7,703.49 and 1,674.62

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Solution

The fourth proportional to 5,134.94, 7,703.49 and 1,674.62 is: 2,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.94 : 7,703.49 = 1,674.62 : x
  2. Step 2: Convert to fraction form
    5,134.94/7,703.49 = 1,674.62/x
  3. Step 3: Cross multiply
    5,134.94x = 7,703.49 × 1,674.62
  4. Step 4: Simplify right side
    5,134.94x = 12,900,418.42
  5. Step 5: Solve for x
    x = 12,900,418.42/5,134.94
  6. Step 6: Final answer
    x = 2,512.28

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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.