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Finding the Fourth Proportional to 5,766.72, 7,956 and 3,281.28

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Solution

The fourth proportional to 5,766.72, 7,956 and 3,281.28 is: 4,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.72 : 7,956 = 3,281.28 : x
  2. Step 2: Convert to fraction form
    5,766.72/7,956 = 3,281.28/x
  3. Step 3: Cross multiply
    5,766.72x = 7,956 × 3,281.28
  4. Step 4: Simplify right side
    5,766.72x = 26,105,863.68
  5. Step 5: Solve for x
    x = 26,105,863.68/5,766.72
  6. Step 6: Final answer
    x = 4,526.99

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Why These Related Problems?

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