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Finding the Fourth Proportional to 3,817.12, 5,713.20 and 2,357.44

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Solution

The fourth proportional to 3,817.12, 5,713.20 and 2,357.44 is: 3,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.12 : 5,713.20 = 2,357.44 : x
  2. Step 2: Convert to fraction form
    3,817.12/5,713.20 = 2,357.44/x
  3. Step 3: Cross multiply
    3,817.12x = 5,713.20 × 2,357.44
  4. Step 4: Simplify right side
    3,817.12x = 13,468,526.21
  5. Step 5: Solve for x
    x = 13,468,526.21/3,817.12
  6. Step 6: Final answer
    x = 3,528.45

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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.