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Finding the Fourth Proportional to 4,423.70, 6,629.50 and 2,446.40

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Solution

The fourth proportional to 4,423.70, 6,629.50 and 2,446.40 is: 3,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.70 : 6,629.50 = 2,446.40 : x
  2. Step 2: Convert to fraction form
    4,423.70/6,629.50 = 2,446.40/x
  3. Step 3: Cross multiply
    4,423.70x = 6,629.50 × 2,446.40
  4. Step 4: Simplify right side
    4,423.70x = 16,218,414.67
  5. Step 5: Solve for x
    x = 16,218,414.67/4,423.70
  6. Step 6: Final answer
    x = 3,666.25

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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.