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Finding the Fourth Proportional to 4,202.40, 6,303.60 and 3,784.80

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Solution

The fourth proportional to 4,202.40, 6,303.60 and 3,784.80 is: 5,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.40 : 6,303.60 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    4,202.40/6,303.60 = 3,784.80/x
  3. Step 3: Cross multiply
    4,202.40x = 6,303.60 × 3,784.80
  4. Step 4: Simplify right side
    4,202.40x = 23,857,865.28
  5. Step 5: Solve for x
    x = 23,857,865.28/4,202.40
  6. Step 6: Final answer
    x = 5,677.20

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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.