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Finding the Fourth Proportional to 5,383.14, 8,074.80 and 1,685.10

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Solution

The fourth proportional to 5,383.14, 8,074.80 and 1,685.10 is: 2,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.14 : 8,074.80 = 1,685.10 : x
  2. Step 2: Convert to fraction form
    5,383.14/8,074.80 = 1,685.10/x
  3. Step 3: Cross multiply
    5,383.14x = 8,074.80 × 1,685.10
  4. Step 4: Simplify right side
    5,383.14x = 13,606,845.48
  5. Step 5: Solve for x
    x = 13,606,845.48/5,383.14
  6. Step 6: Final answer
    x = 2,527.68

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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.