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Finding the Fourth Proportional to 3,298.70, 4,952.10 and 3,274.40

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Solution

The fourth proportional to 3,298.70, 4,952.10 and 3,274.40 is: 4,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.70 : 4,952.10 = 3,274.40 : x
  2. Step 2: Convert to fraction form
    3,298.70/4,952.10 = 3,274.40/x
  3. Step 3: Cross multiply
    3,298.70x = 4,952.10 × 3,274.40
  4. Step 4: Simplify right side
    3,298.70x = 16,215,156.24
  5. Step 5: Solve for x
    x = 16,215,156.24/3,298.70
  6. Step 6: Final answer
    x = 4,915.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.