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Finding the Fourth Proportional to 3,624.96, 5,437.12 and 2,462.44

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Solution

The fourth proportional to 3,624.96, 5,437.12 and 2,462.44 is: 3,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.96 : 5,437.12 = 2,462.44 : x
  2. Step 2: Convert to fraction form
    3,624.96/5,437.12 = 2,462.44/x
  3. Step 3: Cross multiply
    3,624.96x = 5,437.12 × 2,462.44
  4. Step 4: Simplify right side
    3,624.96x = 13,388,581.77
  5. Step 5: Solve for x
    x = 13,388,581.77/3,624.96
  6. Step 6: Final answer
    x = 3,693.44

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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.