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Finding the Fourth Proportional to 4,233.60, 6,357.44 and 2,855.80

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Solution

The fourth proportional to 4,233.60, 6,357.44 and 2,855.80 is: 4,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.60 : 6,357.44 = 2,855.80 : x
  2. Step 2: Convert to fraction form
    4,233.60/6,357.44 = 2,855.80/x
  3. Step 3: Cross multiply
    4,233.60x = 6,357.44 × 2,855.80
  4. Step 4: Simplify right side
    4,233.60x = 18,155,577.15
  5. Step 5: Solve for x
    x = 18,155,577.15/4,233.60
  6. Step 6: Final answer
    x = 4,288.45

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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.