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Finding the Fourth Proportional to 3,751.96, 5,624.90 and 1,562.33

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Solution

The fourth proportional to 3,751.96, 5,624.90 and 1,562.33 is: 2,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.96 : 5,624.90 = 1,562.33 : x
  2. Step 2: Convert to fraction form
    3,751.96/5,624.90 = 1,562.33/x
  3. Step 3: Cross multiply
    3,751.96x = 5,624.90 × 1,562.33
  4. Step 4: Simplify right side
    3,751.96x = 8,787,950.02
  5. Step 5: Solve for x
    x = 8,787,950.02/3,751.96
  6. Step 6: Final answer
    x = 2,342.23

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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.