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Finding the Fourth Proportional to 5,524.64, 7,624.08 and 3,006.82

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Solution

The fourth proportional to 5,524.64, 7,624.08 and 3,006.82 is: 4,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.64 : 7,624.08 = 3,006.82 : x
  2. Step 2: Convert to fraction form
    5,524.64/7,624.08 = 3,006.82/x
  3. Step 3: Cross multiply
    5,524.64x = 7,624.08 × 3,006.82
  4. Step 4: Simplify right side
    5,524.64x = 22,924,236.23
  5. Step 5: Solve for x
    x = 22,924,236.23/5,524.64
  6. Step 6: Final answer
    x = 4,149.45

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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.