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Finding the Fourth Proportional to 4,160.81, 6,241.23 and 2,428.22

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Solution

The fourth proportional to 4,160.81, 6,241.23 and 2,428.22 is: 3,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.81 : 6,241.23 = 2,428.22 : x
  2. Step 2: Convert to fraction form
    4,160.81/6,241.23 = 2,428.22/x
  3. Step 3: Cross multiply
    4,160.81x = 6,241.23 × 2,428.22
  4. Step 4: Simplify right side
    4,160.81x = 15,155,095.11
  5. Step 5: Solve for x
    x = 15,155,095.11/4,160.81
  6. Step 6: Final answer
    x = 3,642.34

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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.