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Finding the Fourth Proportional to 3,598.65, 4,966.02 and 2,201.40

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Solution

The fourth proportional to 3,598.65, 4,966.02 and 2,201.40 is: 3,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.65 : 4,966.02 = 2,201.40 : x
  2. Step 2: Convert to fraction form
    3,598.65/4,966.02 = 2,201.40/x
  3. Step 3: Cross multiply
    3,598.65x = 4,966.02 × 2,201.40
  4. Step 4: Simplify right side
    3,598.65x = 10,932,196.43
  5. Step 5: Solve for x
    x = 10,932,196.43/3,598.65
  6. Step 6: Final answer
    x = 3,037.86

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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.