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Finding the Fourth Proportional to 5,749.99, 8,624.75 and 1,645.99

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Solution

The fourth proportional to 5,749.99, 8,624.75 and 1,645.99 is: 2,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.99 : 8,624.75 = 1,645.99 : x
  2. Step 2: Convert to fraction form
    5,749.99/8,624.75 = 1,645.99/x
  3. Step 3: Cross multiply
    5,749.99x = 8,624.75 × 1,645.99
  4. Step 4: Simplify right side
    5,749.99x = 14,196,244.02
  5. Step 5: Solve for x
    x = 14,196,244.02/5,749.99
  6. Step 6: Final answer
    x = 2,468.92

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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.