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Finding the Fourth Proportional to 5,965.32, 8,231.54 and 3,482.76

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Solution

The fourth proportional to 5,965.32, 8,231.54 and 3,482.76 is: 4,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.32 : 8,231.54 = 3,482.76 : x
  2. Step 2: Convert to fraction form
    5,965.32/8,231.54 = 3,482.76/x
  3. Step 3: Cross multiply
    5,965.32x = 8,231.54 × 3,482.76
  4. Step 4: Simplify right side
    5,965.32x = 28,668,478.25
  5. Step 5: Solve for x
    x = 28,668,478.25/5,965.32
  6. Step 6: Final answer
    x = 4,805.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.