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Finding the Fourth Proportional to 3,624.28, 4,964.03 and 3,411.50

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Solution

The fourth proportional to 3,624.28, 4,964.03 and 3,411.50 is: 4,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.28 : 4,964.03 = 3,411.50 : x
  2. Step 2: Convert to fraction form
    3,624.28/4,964.03 = 3,411.50/x
  3. Step 3: Cross multiply
    3,624.28x = 4,964.03 × 3,411.50
  4. Step 4: Simplify right side
    3,624.28x = 16,934,815.49
  5. Step 5: Solve for x
    x = 16,934,815.49/3,624.28
  6. Step 6: Final answer
    x = 4,672.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.