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Finding the Fourth Proportional to 5,304.54, 7,947 and 2,668.96

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Solution

The fourth proportional to 5,304.54, 7,947 and 2,668.96 is: 3,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.54 : 7,947 = 2,668.96 : x
  2. Step 2: Convert to fraction form
    5,304.54/7,947 = 2,668.96/x
  3. Step 3: Cross multiply
    5,304.54x = 7,947 × 2,668.96
  4. Step 4: Simplify right side
    5,304.54x = 21,210,225.12
  5. Step 5: Solve for x
    x = 21,210,225.12/5,304.54
  6. Step 6: Final answer
    x = 3,998.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.