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Finding the Fourth Proportional to 3,672.02, 5,506.47 and 1,205.48

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Solution

The fourth proportional to 3,672.02, 5,506.47 and 1,205.48 is: 1,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.02 : 5,506.47 = 1,205.48 : x
  2. Step 2: Convert to fraction form
    3,672.02/5,506.47 = 1,205.48/x
  3. Step 3: Cross multiply
    3,672.02x = 5,506.47 × 1,205.48
  4. Step 4: Simplify right side
    3,672.02x = 6,637,939.46
  5. Step 5: Solve for x
    x = 6,637,939.46/3,672.02
  6. Step 6: Final answer
    x = 1,807.71

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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.