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Finding the Fourth Proportional to 3,599.09, 4,966.62 and 2,182.94

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Solution

The fourth proportional to 3,599.09, 4,966.62 and 2,182.94 is: 3,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.09 : 4,966.62 = 2,182.94 : x
  2. Step 2: Convert to fraction form
    3,599.09/4,966.62 = 2,182.94/x
  3. Step 3: Cross multiply
    3,599.09x = 4,966.62 × 2,182.94
  4. Step 4: Simplify right side
    3,599.09x = 10,841,833.46
  5. Step 5: Solve for x
    x = 10,841,833.46/3,599.09
  6. Step 6: Final answer
    x = 3,012.38

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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.