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Finding the Fourth Proportional to 4,778.40, 7,167.60 and 4,202.40

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Solution

The fourth proportional to 4,778.40, 7,167.60 and 4,202.40 is: 6,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.40 : 7,167.60 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    4,778.40/7,167.60 = 4,202.40/x
  3. Step 3: Cross multiply
    4,778.40x = 7,167.60 × 4,202.40
  4. Step 4: Simplify right side
    4,778.40x = 30,121,122.24
  5. Step 5: Solve for x
    x = 30,121,122.24/4,778.40
  6. Step 6: Final answer
    x = 6,303.60

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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.