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Finding the Fourth Proportional to 5,496.66, 8,245.80 and 1,986.93

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Solution

The fourth proportional to 5,496.66, 8,245.80 and 1,986.93 is: 2,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.66 : 8,245.80 = 1,986.93 : x
  2. Step 2: Convert to fraction form
    5,496.66/8,245.80 = 1,986.93/x
  3. Step 3: Cross multiply
    5,496.66x = 8,245.80 × 1,986.93
  4. Step 4: Simplify right side
    5,496.66x = 16,383,827.39
  5. Step 5: Solve for x
    x = 16,383,827.39/5,496.66
  6. Step 6: Final answer
    x = 2,980.69

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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.