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Finding the Fourth Proportional to 3,984.84, 5,498.64 and 2,305.92

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Solution

The fourth proportional to 3,984.84, 5,498.64 and 2,305.92 is: 3,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.84 : 5,498.64 = 2,305.92 : x
  2. Step 2: Convert to fraction form
    3,984.84/5,498.64 = 2,305.92/x
  3. Step 3: Cross multiply
    3,984.84x = 5,498.64 × 2,305.92
  4. Step 4: Simplify right side
    3,984.84x = 12,679,423.95
  5. Step 5: Solve for x
    x = 12,679,423.95/3,984.84
  6. Step 6: Final answer
    x = 3,181.92

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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.