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Finding the Fourth Proportional to 3,299.84, 4,549.44 and 2,761.76

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Solution

The fourth proportional to 3,299.84, 4,549.44 and 2,761.76 is: 3,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.84 : 4,549.44 = 2,761.76 : x
  2. Step 2: Convert to fraction form
    3,299.84/4,549.44 = 2,761.76/x
  3. Step 3: Cross multiply
    3,299.84x = 4,549.44 × 2,761.76
  4. Step 4: Simplify right side
    3,299.84x = 12,564,461.41
  5. Step 5: Solve for x
    x = 12,564,461.41/3,299.84
  6. Step 6: Final answer
    x = 3,807.60

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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.