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Finding the Fourth Proportional to 4,207.57, 5,805.57 and 2,880.79

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Solution

The fourth proportional to 4,207.57, 5,805.57 and 2,880.79 is: 3,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.57 : 5,805.57 = 2,880.79 : x
  2. Step 2: Convert to fraction form
    4,207.57/5,805.57 = 2,880.79/x
  3. Step 3: Cross multiply
    4,207.57x = 5,805.57 × 2,880.79
  4. Step 4: Simplify right side
    4,207.57x = 16,724,624.29
  5. Step 5: Solve for x
    x = 16,724,624.29/4,207.57
  6. Step 6: Final answer
    x = 3,974.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.