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Finding the Fourth Proportional to 5,636.64, 7,776.80 and 3,399.20

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Solution

The fourth proportional to 5,636.64, 7,776.80 and 3,399.20 is: 4,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.64 : 7,776.80 = 3,399.20 : x
  2. Step 2: Convert to fraction form
    5,636.64/7,776.80 = 3,399.20/x
  3. Step 3: Cross multiply
    5,636.64x = 7,776.80 × 3,399.20
  4. Step 4: Simplify right side
    5,636.64x = 26,434,898.56
  5. Step 5: Solve for x
    x = 26,434,898.56/5,636.64
  6. Step 6: Final answer
    x = 4,689.83

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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.