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Finding the Fourth Proportional to 5,954.14, 8,216.94 and 4,459.42

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Solution

The fourth proportional to 5,954.14, 8,216.94 and 4,459.42 is: 6,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.14 : 8,216.94 = 4,459.42 : x
  2. Step 2: Convert to fraction form
    5,954.14/8,216.94 = 4,459.42/x
  3. Step 3: Cross multiply
    5,954.14x = 8,216.94 × 4,459.42
  4. Step 4: Simplify right side
    5,954.14x = 36,642,786.57
  5. Step 5: Solve for x
    x = 36,642,786.57/5,954.14
  6. Step 6: Final answer
    x = 6,154.17

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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.