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Finding the Fourth Proportional to 5,965.30, 8,231.61 and 3,607.30

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Solution

The fourth proportional to 5,965.30, 8,231.61 and 3,607.30 is: 4,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.30 : 8,231.61 = 3,607.30 : x
  2. Step 2: Convert to fraction form
    5,965.30/8,231.61 = 3,607.30/x
  3. Step 3: Cross multiply
    5,965.30x = 8,231.61 × 3,607.30
  4. Step 4: Simplify right side
    5,965.30x = 29,693,886.75
  5. Step 5: Solve for x
    x = 29,693,886.75/5,965.30
  6. Step 6: Final answer
    x = 4,977.77

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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.