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Finding the Fourth Proportional to 3,774.88, 5,659.44 and 1,465.12

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Solution

The fourth proportional to 3,774.88, 5,659.44 and 1,465.12 is: 2,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.88 : 5,659.44 = 1,465.12 : x
  2. Step 2: Convert to fraction form
    3,774.88/5,659.44 = 1,465.12/x
  3. Step 3: Cross multiply
    3,774.88x = 5,659.44 × 1,465.12
  4. Step 4: Simplify right side
    3,774.88x = 8,291,758.73
  5. Step 5: Solve for x
    x = 8,291,758.73/3,774.88
  6. Step 6: Final answer
    x = 2,196.56

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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.