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Finding the Fourth Proportional to 3,820.40, 5,725.20 and 2,355.20

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Solution

The fourth proportional to 3,820.40, 5,725.20 and 2,355.20 is: 3,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.40 : 5,725.20 = 2,355.20 : x
  2. Step 2: Convert to fraction form
    3,820.40/5,725.20 = 2,355.20/x
  3. Step 3: Cross multiply
    3,820.40x = 5,725.20 × 2,355.20
  4. Step 4: Simplify right side
    3,820.40x = 13,483,991.04
  5. Step 5: Solve for x
    x = 13,483,991.04/3,820.40
  6. Step 6: Final answer
    x = 3,529.47

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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.