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Finding the Fourth Proportional to 3,999.84, 5,520.24 and 2,405.76

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Solution

The fourth proportional to 3,999.84, 5,520.24 and 2,405.76 is: 3,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.84 : 5,520.24 = 2,405.76 : x
  2. Step 2: Convert to fraction form
    3,999.84/5,520.24 = 2,405.76/x
  3. Step 3: Cross multiply
    3,999.84x = 5,520.24 × 2,405.76
  4. Step 4: Simplify right side
    3,999.84x = 13,280,372.58
  5. Step 5: Solve for x
    x = 13,280,372.58/3,999.84
  6. Step 6: Final answer
    x = 3,320.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.