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Finding the Fourth Proportional to 5,118.40, 7,661.40 and 4,016.80

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Solution

The fourth proportional to 5,118.40, 7,661.40 and 4,016.80 is: 6,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.40 : 7,661.40 = 4,016.80 : x
  2. Step 2: Convert to fraction form
    5,118.40/7,661.40 = 4,016.80/x
  3. Step 3: Cross multiply
    5,118.40x = 7,661.40 × 4,016.80
  4. Step 4: Simplify right side
    5,118.40x = 30,774,311.52
  5. Step 5: Solve for x
    x = 30,774,311.52/5,118.40
  6. Step 6: Final answer
    x = 6,012.49

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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.