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Finding the Fourth Proportional to 5,520.96, 8,282.25 and 1,624.86

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Solution

The fourth proportional to 5,520.96, 8,282.25 and 1,624.86 is: 2,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.96 : 8,282.25 = 1,624.86 : x
  2. Step 2: Convert to fraction form
    5,520.96/8,282.25 = 1,624.86/x
  3. Step 3: Cross multiply
    5,520.96x = 8,282.25 × 1,624.86
  4. Step 4: Simplify right side
    5,520.96x = 13,457,496.74
  5. Step 5: Solve for x
    x = 13,457,496.74/5,520.96
  6. Step 6: Final answer
    x = 2,437.53

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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.