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Finding the Fourth Proportional to 3,671.33, 5,507.00 and 1,206.34

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Solution

The fourth proportional to 3,671.33, 5,507.00 and 1,206.34 is: 1,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.33 : 5,507.00 = 1,206.34 : x
  2. Step 2: Convert to fraction form
    3,671.33/5,507.00 = 1,206.34/x
  3. Step 3: Cross multiply
    3,671.33x = 5,507.00 × 1,206.34
  4. Step 4: Simplify right side
    3,671.33x = 6,643,299.10
  5. Step 5: Solve for x
    x = 6,643,299.10/3,671.33
  6. Step 6: Final answer
    x = 1,809.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.