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Finding the Fourth Proportional to 5,636.64, 8,456.88 and 3,176.28

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Solution

The fourth proportional to 5,636.64, 8,456.88 and 3,176.28 is: 4,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.64 : 8,456.88 = 3,176.28 : x
  2. Step 2: Convert to fraction form
    5,636.64/8,456.88 = 3,176.28/x
  3. Step 3: Cross multiply
    5,636.64x = 8,456.88 × 3,176.28
  4. Step 4: Simplify right side
    5,636.64x = 26,861,418.81
  5. Step 5: Solve for x
    x = 26,861,418.81/5,636.64
  6. Step 6: Final answer
    x = 4,765.50

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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.