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Finding the Fourth Proportional to 3,461.16, 4,775.04 and 2,201.88

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Solution

The fourth proportional to 3,461.16, 4,775.04 and 2,201.88 is: 3,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.16 : 4,775.04 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    3,461.16/4,775.04 = 2,201.88/x
  3. Step 3: Cross multiply
    3,461.16x = 4,775.04 × 2,201.88
  4. Step 4: Simplify right side
    3,461.16x = 10,514,065.08
  5. Step 5: Solve for x
    x = 10,514,065.08/3,461.16
  6. Step 6: Final answer
    x = 3,037.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.