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Finding the Fourth Proportional to 5,167.80, 7,752.81 and 1,656.99

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Solution

The fourth proportional to 5,167.80, 7,752.81 and 1,656.99 is: 2,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.80 : 7,752.81 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    5,167.80/7,752.81 = 1,656.99/x
  3. Step 3: Cross multiply
    5,167.80x = 7,752.81 × 1,656.99
  4. Step 4: Simplify right side
    5,167.80x = 12,846,289.88
  5. Step 5: Solve for x
    x = 12,846,289.88/5,167.80
  6. Step 6: Final answer
    x = 2,485.84

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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.