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Finding the Fourth Proportional to 4,254.40, 6,381.60 and 3,793.60

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Solution

The fourth proportional to 4,254.40, 6,381.60 and 3,793.60 is: 5,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.40 : 6,381.60 = 3,793.60 : x
  2. Step 2: Convert to fraction form
    4,254.40/6,381.60 = 3,793.60/x
  3. Step 3: Cross multiply
    4,254.40x = 6,381.60 × 3,793.60
  4. Step 4: Simplify right side
    4,254.40x = 24,209,237.76
  5. Step 5: Solve for x
    x = 24,209,237.76/4,254.40
  6. Step 6: Final answer
    x = 5,690.40

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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.