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Finding the Fourth Proportional to 3,886.79, 5,830.25 and 965.12

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Solution

The fourth proportional to 3,886.79, 5,830.25 and 965.12 is: 1,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.79 : 5,830.25 = 965.12 : x
  2. Step 2: Convert to fraction form
    3,886.79/5,830.25 = 965.12/x
  3. Step 3: Cross multiply
    3,886.79x = 5,830.25 × 965.12
  4. Step 4: Simplify right side
    3,886.79x = 5,626,856.90
  5. Step 5: Solve for x
    x = 5,626,856.90/3,886.79
  6. Step 6: Final answer
    x = 1,447.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.