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Finding the Fourth Proportional to 4,932.84, 7,401.42 and 2,160.21

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Solution

The fourth proportional to 4,932.84, 7,401.42 and 2,160.21 is: 3,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.84 : 7,401.42 = 2,160.21 : x
  2. Step 2: Convert to fraction form
    4,932.84/7,401.42 = 2,160.21/x
  3. Step 3: Cross multiply
    4,932.84x = 7,401.42 × 2,160.21
  4. Step 4: Simplify right side
    4,932.84x = 15,988,621.50
  5. Step 5: Solve for x
    x = 15,988,621.50/4,932.84
  6. Step 6: Final answer
    x = 3,241.26

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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.