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Finding the Fourth Proportional to 3,756.92, 5,636.02 and 1,159.80

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Solution

The fourth proportional to 3,756.92, 5,636.02 and 1,159.80 is: 1,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.92 : 5,636.02 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    3,756.92/5,636.02 = 1,159.80/x
  3. Step 3: Cross multiply
    3,756.92x = 5,636.02 × 1,159.80
  4. Step 4: Simplify right side
    3,756.92x = 6,536,656.00
  5. Step 5: Solve for x
    x = 6,536,656.00/3,756.92
  6. Step 6: Final answer
    x = 1,739.90

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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.