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Finding the Fourth Proportional to 5,722.80, 8,584.32 and 2,435.28

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Solution

The fourth proportional to 5,722.80, 8,584.32 and 2,435.28 is: 3,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.80 : 8,584.32 = 2,435.28 : x
  2. Step 2: Convert to fraction form
    5,722.80/8,584.32 = 2,435.28/x
  3. Step 3: Cross multiply
    5,722.80x = 8,584.32 × 2,435.28
  4. Step 4: Simplify right side
    5,722.80x = 20,905,222.81
  5. Step 5: Solve for x
    x = 20,905,222.81/5,722.80
  6. Step 6: Final answer
    x = 3,652.97

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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.