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Finding the Fourth Proportional to 3,876.49, 5,814.87 and 1,536.94

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Solution

The fourth proportional to 3,876.49, 5,814.87 and 1,536.94 is: 2,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.49 : 5,814.87 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    3,876.49/5,814.87 = 1,536.94/x
  3. Step 3: Cross multiply
    3,876.49x = 5,814.87 × 1,536.94
  4. Step 4: Simplify right side
    3,876.49x = 8,937,106.30
  5. Step 5: Solve for x
    x = 8,937,106.30/3,876.49
  6. Step 6: Final answer
    x = 2,305.46

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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.