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Finding the Fourth Proportional to 5,582.64, 7,705.44 and 3,226.26

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Solution

The fourth proportional to 5,582.64, 7,705.44 and 3,226.26 is: 4,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.64 : 7,705.44 = 3,226.26 : x
  2. Step 2: Convert to fraction form
    5,582.64/7,705.44 = 3,226.26/x
  3. Step 3: Cross multiply
    5,582.64x = 7,705.44 × 3,226.26
  4. Step 4: Simplify right side
    5,582.64x = 24,859,752.85
  5. Step 5: Solve for x
    x = 24,859,752.85/5,582.64
  6. Step 6: Final answer
    x = 4,453.05

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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.