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Finding the Fourth Proportional to 5,780.75, 7,977.44 and 3,128.16

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Solution

The fourth proportional to 5,780.75, 7,977.44 and 3,128.16 is: 4,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.75 : 7,977.44 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    5,780.75/7,977.44 = 3,128.16/x
  3. Step 3: Cross multiply
    5,780.75x = 7,977.44 × 3,128.16
  4. Step 4: Simplify right side
    5,780.75x = 24,954,716.53
  5. Step 5: Solve for x
    x = 24,954,716.53/5,780.75
  6. Step 6: Final answer
    x = 4,316.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.