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Finding the Fourth Proportional to 5,289.68, 7,929.86 and 2,005.08

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Solution

The fourth proportional to 5,289.68, 7,929.86 and 2,005.08 is: 3,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.68 : 7,929.86 = 2,005.08 : x
  2. Step 2: Convert to fraction form
    5,289.68/7,929.86 = 2,005.08/x
  3. Step 3: Cross multiply
    5,289.68x = 7,929.86 × 2,005.08
  4. Step 4: Simplify right side
    5,289.68x = 15,899,993.66
  5. Step 5: Solve for x
    x = 15,899,993.66/5,289.68
  6. Step 6: Final answer
    x = 3,005.85

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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.