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Finding the Fourth Proportional to 4,134.78, 5,695.11 and 3,130.38

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Solution

The fourth proportional to 4,134.78, 5,695.11 and 3,130.38 is: 4,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.78 : 5,695.11 = 3,130.38 : x
  2. Step 2: Convert to fraction form
    4,134.78/5,695.11 = 3,130.38/x
  3. Step 3: Cross multiply
    4,134.78x = 5,695.11 × 3,130.38
  4. Step 4: Simplify right side
    4,134.78x = 17,827,858.44
  5. Step 5: Solve for x
    x = 17,827,858.44/4,134.78
  6. Step 6: Final answer
    x = 4,311.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.