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Finding the Fourth Proportional to 4,782.40, 7,173.60 and 4,272.10

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Solution

The fourth proportional to 4,782.40, 7,173.60 and 4,272.10 is: 6,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.40 : 7,173.60 = 4,272.10 : x
  2. Step 2: Convert to fraction form
    4,782.40/7,173.60 = 4,272.10/x
  3. Step 3: Cross multiply
    4,782.40x = 7,173.60 × 4,272.10
  4. Step 4: Simplify right side
    4,782.40x = 30,646,336.56
  5. Step 5: Solve for x
    x = 30,646,336.56/4,782.40
  6. Step 6: Final answer
    x = 6,408.15

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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.