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Finding the Fourth Proportional to 5,131.78, 7,696.44 and 1,434.13

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Solution

The fourth proportional to 5,131.78, 7,696.44 and 1,434.13 is: 2,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.78 : 7,696.44 = 1,434.13 : x
  2. Step 2: Convert to fraction form
    5,131.78/7,696.44 = 1,434.13/x
  3. Step 3: Cross multiply
    5,131.78x = 7,696.44 × 1,434.13
  4. Step 4: Simplify right side
    5,131.78x = 11,037,695.50
  5. Step 5: Solve for x
    x = 11,037,695.50/5,131.78
  6. Step 6: Final answer
    x = 2,150.85

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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.