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Finding the Fourth Proportional to 3,539.84, 4,887.42 and 2,214.14

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Solution

The fourth proportional to 3,539.84, 4,887.42 and 2,214.14 is: 3,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.84 : 4,887.42 = 2,214.14 : x
  2. Step 2: Convert to fraction form
    3,539.84/4,887.42 = 2,214.14/x
  3. Step 3: Cross multiply
    3,539.84x = 4,887.42 × 2,214.14
  4. Step 4: Simplify right side
    3,539.84x = 10,821,432.12
  5. Step 5: Solve for x
    x = 10,821,432.12/3,539.84
  6. Step 6: Final answer
    x = 3,057.04

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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.