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Finding the Fourth Proportional to 3,461.66, 4,775.72 and 2,202.38

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Solution

The fourth proportional to 3,461.66, 4,775.72 and 2,202.38 is: 3,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.66 : 4,775.72 = 2,202.38 : x
  2. Step 2: Convert to fraction form
    3,461.66/4,775.72 = 2,202.38/x
  3. Step 3: Cross multiply
    3,461.66x = 4,775.72 × 2,202.38
  4. Step 4: Simplify right side
    3,461.66x = 10,517,950.21
  5. Step 5: Solve for x
    x = 10,517,950.21/3,461.66
  6. Step 6: Final answer
    x = 3,038.41

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Why These Related Problems?

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