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Finding the Fourth Proportional to 3,483.97, 4,814.11 and 2,591.31

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Solution

The fourth proportional to 3,483.97, 4,814.11 and 2,591.31 is: 3,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.97 : 4,814.11 = 2,591.31 : x
  2. Step 2: Convert to fraction form
    3,483.97/4,814.11 = 2,591.31/x
  3. Step 3: Cross multiply
    3,483.97x = 4,814.11 × 2,591.31
  4. Step 4: Simplify right side
    3,483.97x = 12,474,851.38
  5. Step 5: Solve for x
    x = 12,474,851.38/3,483.97
  6. Step 6: Final answer
    x = 3,580.64

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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.