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Finding the Fourth Proportional to 5,612.18, 7,742.28 and 3,817.46

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Solution

The fourth proportional to 5,612.18, 7,742.28 and 3,817.46 is: 5,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.18 : 7,742.28 = 3,817.46 : x
  2. Step 2: Convert to fraction form
    5,612.18/7,742.28 = 3,817.46/x
  3. Step 3: Cross multiply
    5,612.18x = 7,742.28 × 3,817.46
  4. Step 4: Simplify right side
    5,612.18x = 29,555,844.21
  5. Step 5: Solve for x
    x = 29,555,844.21/5,612.18
  6. Step 6: Final answer
    x = 5,266.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.