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Finding the Fourth Proportional to 5,194.41, 7,789.79 and 1,495.64

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Solution

The fourth proportional to 5,194.41, 7,789.79 and 1,495.64 is: 2,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.41 : 7,789.79 = 1,495.64 : x
  2. Step 2: Convert to fraction form
    5,194.41/7,789.79 = 1,495.64/x
  3. Step 3: Cross multiply
    5,194.41x = 7,789.79 × 1,495.64
  4. Step 4: Simplify right side
    5,194.41x = 11,650,721.52
  5. Step 5: Solve for x
    x = 11,650,721.52/5,194.41
  6. Step 6: Final answer
    x = 2,242.93

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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.