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Finding the Fourth Proportional to 4,350.74, 6,520.21 and 2,005.59

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Solution

The fourth proportional to 4,350.74, 6,520.21 and 2,005.59 is: 3,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.74 : 6,520.21 = 2,005.59 : x
  2. Step 2: Convert to fraction form
    4,350.74/6,520.21 = 2,005.59/x
  3. Step 3: Cross multiply
    4,350.74x = 6,520.21 × 2,005.59
  4. Step 4: Simplify right side
    4,350.74x = 13,076,867.97
  5. Step 5: Solve for x
    x = 13,076,867.97/4,350.74
  6. Step 6: Final answer
    x = 3,005.67

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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.