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Finding the Fourth Proportional to 3,498.41, 4,827.46 and 2,005.99

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Solution

The fourth proportional to 3,498.41, 4,827.46 and 2,005.99 is: 2,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.41 : 4,827.46 = 2,005.99 : x
  2. Step 2: Convert to fraction form
    3,498.41/4,827.46 = 2,005.99/x
  3. Step 3: Cross multiply
    3,498.41x = 4,827.46 × 2,005.99
  4. Step 4: Simplify right side
    3,498.41x = 9,683,836.49
  5. Step 5: Solve for x
    x = 9,683,836.49/3,498.41
  6. Step 6: Final answer
    x = 2,768.07

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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.