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Finding the Fourth Proportional to 5,194.40, 7,790.46 and 1,495.83

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Solution

The fourth proportional to 5,194.40, 7,790.46 and 1,495.83 is: 2,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.40 : 7,790.46 = 1,495.83 : x
  2. Step 2: Convert to fraction form
    5,194.40/7,790.46 = 1,495.83/x
  3. Step 3: Cross multiply
    5,194.40x = 7,790.46 × 1,495.83
  4. Step 4: Simplify right side
    5,194.40x = 11,653,177.50
  5. Step 5: Solve for x
    x = 11,653,177.50/5,194.40
  6. Step 6: Final answer
    x = 2,243.41

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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.