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Finding the Fourth Proportional to 5,193.78, 7,789.52 and 1,495.18

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Solution

The fourth proportional to 5,193.78, 7,789.52 and 1,495.18 is: 2,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.78 : 7,789.52 = 1,495.18 : x
  2. Step 2: Convert to fraction form
    5,193.78/7,789.52 = 1,495.18/x
  3. Step 3: Cross multiply
    5,193.78x = 7,789.52 × 1,495.18
  4. Step 4: Simplify right side
    5,193.78x = 11,646,727.04
  5. Step 5: Solve for x
    x = 11,646,727.04/5,193.78
  6. Step 6: Final answer
    x = 2,242.44

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1.5x scale

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.