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Finding the Fourth Proportional to 4,427.68, 6,076.52 and 4,074.40

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Solution

The fourth proportional to 4,427.68, 6,076.52 and 4,074.40 is: 5,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.68 : 6,076.52 = 4,074.40 : x
  2. Step 2: Convert to fraction form
    4,427.68/6,076.52 = 4,074.40/x
  3. Step 3: Cross multiply
    4,427.68x = 6,076.52 × 4,074.40
  4. Step 4: Simplify right side
    4,427.68x = 24,758,173.09
  5. Step 5: Solve for x
    x = 24,758,173.09/4,427.68
  6. Step 6: Final answer
    x = 5,591.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.