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Finding the Fourth Proportional to 4,190.16, 5,820.31 and 4,123.17

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Solution

The fourth proportional to 4,190.16, 5,820.31 and 4,123.17 is: 5,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.16 : 5,820.31 = 4,123.17 : x
  2. Step 2: Convert to fraction form
    4,190.16/5,820.31 = 4,123.17/x
  3. Step 3: Cross multiply
    4,190.16x = 5,820.31 × 4,123.17
  4. Step 4: Simplify right side
    4,190.16x = 23,998,127.58
  5. Step 5: Solve for x
    x = 23,998,127.58/4,190.16
  6. Step 6: Final answer
    x = 5,727.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.