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Finding the Fourth Proportional to 5,783.28, 8,672.49 and 2,272.74

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Solution

The fourth proportional to 5,783.28, 8,672.49 and 2,272.74 is: 3,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.28 : 8,672.49 = 2,272.74 : x
  2. Step 2: Convert to fraction form
    5,783.28/8,672.49 = 2,272.74/x
  3. Step 3: Cross multiply
    5,783.28x = 8,672.49 × 2,272.74
  4. Step 4: Simplify right side
    5,783.28x = 19,710,314.92
  5. Step 5: Solve for x
    x = 19,710,314.92/5,783.28
  6. Step 6: Final answer
    x = 3,408.16

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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.