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Finding the Fourth Proportional to 5,488.40, 8,213.70 and 3,298.70

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Solution

The fourth proportional to 5,488.40, 8,213.70 and 3,298.70 is: 4,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.40 : 8,213.70 = 3,298.70 : x
  2. Step 2: Convert to fraction form
    5,488.40/8,213.70 = 3,298.70/x
  3. Step 3: Cross multiply
    5,488.40x = 8,213.70 × 3,298.70
  4. Step 4: Simplify right side
    5,488.40x = 27,094,532.19
  5. Step 5: Solve for x
    x = 27,094,532.19/5,488.40
  6. Step 6: Final answer
    x = 4,936.69

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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.