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Finding the Fourth Proportional to 4,221.46, 6,333.10 and 1,624.40

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Solution

The fourth proportional to 4,221.46, 6,333.10 and 1,624.40 is: 2,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.46 : 6,333.10 = 1,624.40 : x
  2. Step 2: Convert to fraction form
    4,221.46/6,333.10 = 1,624.40/x
  3. Step 3: Cross multiply
    4,221.46x = 6,333.10 × 1,624.40
  4. Step 4: Simplify right side
    4,221.46x = 10,287,487.64
  5. Step 5: Solve for x
    x = 10,287,487.64/4,221.46
  6. Step 6: Final answer
    x = 2,436.95

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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.