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Finding the Fourth Proportional to 3,227.84, 4,832.58 and 3,023.72

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Solution

The fourth proportional to 3,227.84, 4,832.58 and 3,023.72 is: 4,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.84 : 4,832.58 = 3,023.72 : x
  2. Step 2: Convert to fraction form
    3,227.84/4,832.58 = 3,023.72/x
  3. Step 3: Cross multiply
    3,227.84x = 4,832.58 × 3,023.72
  4. Step 4: Simplify right side
    3,227.84x = 14,612,368.80
  5. Step 5: Solve for x
    x = 14,612,368.80/3,227.84
  6. Step 6: Final answer
    x = 4,526.98

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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.