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Finding the Fourth Proportional to 4,885.40, 7,321.70 and 1,965.75

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Solution

The fourth proportional to 4,885.40, 7,321.70 and 1,965.75 is: 2,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.40 : 7,321.70 = 1,965.75 : x
  2. Step 2: Convert to fraction form
    4,885.40/7,321.70 = 1,965.75/x
  3. Step 3: Cross multiply
    4,885.40x = 7,321.70 × 1,965.75
  4. Step 4: Simplify right side
    4,885.40x = 14,392,631.78
  5. Step 5: Solve for x
    x = 14,392,631.78/4,885.40
  6. Step 6: Final answer
    x = 2,946.05

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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.