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Finding the Fourth Proportional to 3,584.04, 5,377.68 and 2,431.68

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Solution

The fourth proportional to 3,584.04, 5,377.68 and 2,431.68 is: 3,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.04 : 5,377.68 = 2,431.68 : x
  2. Step 2: Convert to fraction form
    3,584.04/5,377.68 = 2,431.68/x
  3. Step 3: Cross multiply
    3,584.04x = 5,377.68 × 2,431.68
  4. Step 4: Simplify right side
    3,584.04x = 13,076,796.90
  5. Step 5: Solve for x
    x = 13,076,796.90/3,584.04
  6. Step 6: Final answer
    x = 3,648.62

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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.