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Finding the Fourth Proportional to 3,774.56, 5,661.44 and 2,311.16

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Solution

The fourth proportional to 3,774.56, 5,661.44 and 2,311.16 is: 3,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.56 : 5,661.44 = 2,311.16 : x
  2. Step 2: Convert to fraction form
    3,774.56/5,661.44 = 2,311.16/x
  3. Step 3: Cross multiply
    3,774.56x = 5,661.44 × 2,311.16
  4. Step 4: Simplify right side
    3,774.56x = 13,084,493.67
  5. Step 5: Solve for x
    x = 13,084,493.67/3,774.56
  6. Step 6: Final answer
    x = 3,466.50

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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.