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Finding the Fourth Proportional to 3,817.16, 5,725.85 and 1,353.68

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Solution

The fourth proportional to 3,817.16, 5,725.85 and 1,353.68 is: 2,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.16 : 5,725.85 = 1,353.68 : x
  2. Step 2: Convert to fraction form
    3,817.16/5,725.85 = 1,353.68/x
  3. Step 3: Cross multiply
    3,817.16x = 5,725.85 × 1,353.68
  4. Step 4: Simplify right side
    3,817.16x = 7,750,933.23
  5. Step 5: Solve for x
    x = 7,750,933.23/3,817.16
  6. Step 6: Final answer
    x = 2,030.55

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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.