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Finding the Fourth Proportional to 3,775.65, 5,666.55 and 2,736.15

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Solution

The fourth proportional to 3,775.65, 5,666.55 and 2,736.15 is: 4,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.65 : 5,666.55 = 2,736.15 : x
  2. Step 2: Convert to fraction form
    3,775.65/5,666.55 = 2,736.15/x
  3. Step 3: Cross multiply
    3,775.65x = 5,666.55 × 2,736.15
  4. Step 4: Simplify right side
    3,775.65x = 15,504,530.78
  5. Step 5: Solve for x
    x = 15,504,530.78/3,775.65
  6. Step 6: Final answer
    x = 4,106.45

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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.