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Finding the Fourth Proportional to 5,257.70, 7,885.64 and 1,970.12

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Solution

The fourth proportional to 5,257.70, 7,885.64 and 1,970.12 is: 2,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.70 : 7,885.64 = 1,970.12 : x
  2. Step 2: Convert to fraction form
    5,257.70/7,885.64 = 1,970.12/x
  3. Step 3: Cross multiply
    5,257.70x = 7,885.64 × 1,970.12
  4. Step 4: Simplify right side
    5,257.70x = 15,535,607.80
  5. Step 5: Solve for x
    x = 15,535,607.80/5,257.70
  6. Step 6: Final answer
    x = 2,954.83

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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.