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Finding the Fourth Proportional to 4,777.58, 7,164.55 and 2,278.33

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Solution

The fourth proportional to 4,777.58, 7,164.55 and 2,278.33 is: 3,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.58 : 7,164.55 = 2,278.33 : x
  2. Step 2: Convert to fraction form
    4,777.58/7,164.55 = 2,278.33/x
  3. Step 3: Cross multiply
    4,777.58x = 7,164.55 × 2,278.33
  4. Step 4: Simplify right side
    4,777.58x = 16,323,194.14
  5. Step 5: Solve for x
    x = 16,323,194.14/4,777.58
  6. Step 6: Final answer
    x = 3,416.62

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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.