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Finding the Fourth Proportional to 3,676.66, 5,509.78 and 2,851.08

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Solution

The fourth proportional to 3,676.66, 5,509.78 and 2,851.08 is: 4,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.66 : 5,509.78 = 2,851.08 : x
  2. Step 2: Convert to fraction form
    3,676.66/5,509.78 = 2,851.08/x
  3. Step 3: Cross multiply
    3,676.66x = 5,509.78 × 2,851.08
  4. Step 4: Simplify right side
    3,676.66x = 15,708,823.56
  5. Step 5: Solve for x
    x = 15,708,823.56/3,676.66
  6. Step 6: Final answer
    x = 4,272.58

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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.