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Finding the Fourth Proportional to 3,852.53, 5,774.31 and 1,772.75

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Solution

The fourth proportional to 3,852.53, 5,774.31 and 1,772.75 is: 2,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.53 : 5,774.31 = 1,772.75 : x
  2. Step 2: Convert to fraction form
    3,852.53/5,774.31 = 1,772.75/x
  3. Step 3: Cross multiply
    3,852.53x = 5,774.31 × 1,772.75
  4. Step 4: Simplify right side
    3,852.53x = 10,236,408.05
  5. Step 5: Solve for x
    x = 10,236,408.05/3,852.53
  6. Step 6: Final answer
    x = 2,657.06

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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.