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Finding the Fourth Proportional to 3,214.40, 4,820.40 and 2,237.60

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Solution

The fourth proportional to 3,214.40, 4,820.40 and 2,237.60 is: 3,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.40 : 4,820.40 = 2,237.60 : x
  2. Step 2: Convert to fraction form
    3,214.40/4,820.40 = 2,237.60/x
  3. Step 3: Cross multiply
    3,214.40x = 4,820.40 × 2,237.60
  4. Step 4: Simplify right side
    3,214.40x = 10,786,127.04
  5. Step 5: Solve for x
    x = 10,786,127.04/3,214.40
  6. Step 6: Final answer
    x = 3,355.56

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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.