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Finding the Fourth Proportional to 5,609.56, 8,406.84 and 4,304.64

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Solution

The fourth proportional to 5,609.56, 8,406.84 and 4,304.64 is: 6,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.56 : 8,406.84 = 4,304.64 : x
  2. Step 2: Convert to fraction form
    5,609.56/8,406.84 = 4,304.64/x
  3. Step 3: Cross multiply
    5,609.56x = 8,406.84 × 4,304.64
  4. Step 4: Simplify right side
    5,609.56x = 36,188,419.74
  5. Step 5: Solve for x
    x = 36,188,419.74/5,609.56
  6. Step 6: Final answer
    x = 6,451.20

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