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Finding the Fourth Proportional to 5,310.34, 7,965.48 and 1,847.58

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Solution

The fourth proportional to 5,310.34, 7,965.48 and 1,847.58 is: 2,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.34 : 7,965.48 = 1,847.58 : x
  2. Step 2: Convert to fraction form
    5,310.34/7,965.48 = 1,847.58/x
  3. Step 3: Cross multiply
    5,310.34x = 7,965.48 × 1,847.58
  4. Step 4: Simplify right side
    5,310.34x = 14,716,861.54
  5. Step 5: Solve for x
    x = 14,716,861.54/5,310.34
  6. Step 6: Final answer
    x = 2,771.36

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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.