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Finding the Fourth Proportional to 5,171.85, 7,699.27 and 5,141.09

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Solution

The fourth proportional to 5,171.85, 7,699.27 and 5,141.09 is: 7,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.85 : 7,699.27 = 5,141.09 : x
  2. Step 2: Convert to fraction form
    5,171.85/7,699.27 = 5,141.09/x
  3. Step 3: Cross multiply
    5,171.85x = 7,699.27 × 5,141.09
  4. Step 4: Simplify right side
    5,171.85x = 39,582,672.11
  5. Step 5: Solve for x
    x = 39,582,672.11/5,171.85
  6. Step 6: Final answer
    x = 7,653.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.