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Finding the Fourth Proportional to 3,703.64, 5,550.65 and 2,771.87

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Solution

The fourth proportional to 3,703.64, 5,550.65 and 2,771.87 is: 4,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.64 : 5,550.65 = 2,771.87 : x
  2. Step 2: Convert to fraction form
    3,703.64/5,550.65 = 2,771.87/x
  3. Step 3: Cross multiply
    3,703.64x = 5,550.65 × 2,771.87
  4. Step 4: Simplify right side
    3,703.64x = 15,385,680.23
  5. Step 5: Solve for x
    x = 15,385,680.23/3,703.64
  6. Step 6: Final answer
    x = 4,154.21

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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.