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Finding the Fourth Proportional to 4,874.40, 7,302.96 and 3,327.84

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Solution

The fourth proportional to 4,874.40, 7,302.96 and 3,327.84 is: 4,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.40 : 7,302.96 = 3,327.84 : x
  2. Step 2: Convert to fraction form
    4,874.40/7,302.96 = 3,327.84/x
  3. Step 3: Cross multiply
    4,874.40x = 7,302.96 × 3,327.84
  4. Step 4: Simplify right side
    4,874.40x = 24,303,082.41
  5. Step 5: Solve for x
    x = 24,303,082.41/4,874.40
  6. Step 6: Final answer
    x = 4,985.86

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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.