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Finding the Fourth Proportional to 3,213.60, 4,820.40 and 905.12

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Solution

The fourth proportional to 3,213.60, 4,820.40 and 905.12 is: 1,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.60 : 4,820.40 = 905.12 : x
  2. Step 2: Convert to fraction form
    3,213.60/4,820.40 = 905.12/x
  3. Step 3: Cross multiply
    3,213.60x = 4,820.40 × 905.12
  4. Step 4: Simplify right side
    3,213.60x = 4,363,040.45
  5. Step 5: Solve for x
    x = 4,363,040.45/3,213.60
  6. Step 6: Final answer
    x = 1,357.68

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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.