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Finding the Fourth Proportional to 5,194.16, 7,789.64 and 1,495.40

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Solution

The fourth proportional to 5,194.16, 7,789.64 and 1,495.40 is: 2,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.16 : 7,789.64 = 1,495.40 : x
  2. Step 2: Convert to fraction form
    5,194.16/7,789.64 = 1,495.40/x
  3. Step 3: Cross multiply
    5,194.16x = 7,789.64 × 1,495.40
  4. Step 4: Simplify right side
    5,194.16x = 11,648,581.23
  5. Step 5: Solve for x
    x = 11,648,581.23/5,194.16
  6. Step 6: Final answer
    x = 2,242.63

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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.