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Finding the Fourth Proportional to 3,027.04, 4,540 and 835.48

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Solution

The fourth proportional to 3,027.04, 4,540 and 835.48 is: 1,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.04 : 4,540 = 835.48 : x
  2. Step 2: Convert to fraction form
    3,027.04/4,540 = 835.48/x
  3. Step 3: Cross multiply
    3,027.04x = 4,540 × 835.48
  4. Step 4: Simplify right side
    3,027.04x = 3,793,079.20
  5. Step 5: Solve for x
    x = 3,793,079.20/3,027.04
  6. Step 6: Final answer
    x = 1,253.07

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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.