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Finding the Fourth Proportional to 3,171.81, 4,733.63 and 3,098.10

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Solution

The fourth proportional to 3,171.81, 4,733.63 and 3,098.10 is: 4,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.81 : 4,733.63 = 3,098.10 : x
  2. Step 2: Convert to fraction form
    3,171.81/4,733.63 = 3,098.10/x
  3. Step 3: Cross multiply
    3,171.81x = 4,733.63 × 3,098.10
  4. Step 4: Simplify right side
    3,171.81x = 14,665,243.61
  5. Step 5: Solve for x
    x = 14,665,243.61/3,171.81
  6. Step 6: Final answer
    x = 4,623.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.