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Finding the Fourth Proportional to 3,642.77, 5,459.07 and 3,202.94

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Solution

The fourth proportional to 3,642.77, 5,459.07 and 3,202.94 is: 4,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.77 : 5,459.07 = 3,202.94 : x
  2. Step 2: Convert to fraction form
    3,642.77/5,459.07 = 3,202.94/x
  3. Step 3: Cross multiply
    3,642.77x = 5,459.07 × 3,202.94
  4. Step 4: Simplify right side
    3,642.77x = 17,485,073.67
  5. Step 5: Solve for x
    x = 17,485,073.67/3,642.77
  6. Step 6: Final answer
    x = 4,799.94

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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.