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Finding the Fourth Proportional to 3,676.40, 5,506.68 and 1,725.68

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Solution

The fourth proportional to 3,676.40, 5,506.68 and 1,725.68 is: 2,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.40 : 5,506.68 = 1,725.68 : x
  2. Step 2: Convert to fraction form
    3,676.40/5,506.68 = 1,725.68/x
  3. Step 3: Cross multiply
    3,676.40x = 5,506.68 × 1,725.68
  4. Step 4: Simplify right side
    3,676.40x = 9,502,767.54
  5. Step 5: Solve for x
    x = 9,502,767.54/3,676.40
  6. Step 6: Final answer
    x = 2,584.80

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1.5x scale

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.