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Finding the Fourth Proportional to 3,578.67, 5,368.35 and 1,327.80

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Solution

The fourth proportional to 3,578.67, 5,368.35 and 1,327.80 is: 1,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.67 : 5,368.35 = 1,327.80 : x
  2. Step 2: Convert to fraction form
    3,578.67/5,368.35 = 1,327.80/x
  3. Step 3: Cross multiply
    3,578.67x = 5,368.35 × 1,327.80
  4. Step 4: Simplify right side
    3,578.67x = 7,128,095.13
  5. Step 5: Solve for x
    x = 7,128,095.13/3,578.67
  6. Step 6: Final answer
    x = 1,991.83

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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.