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Finding the Fourth Proportional to 4,494.39, 6,733.67 and 4,005.15

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Solution

The fourth proportional to 4,494.39, 6,733.67 and 4,005.15 is: 6,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.39 : 6,733.67 = 4,005.15 : x
  2. Step 2: Convert to fraction form
    4,494.39/6,733.67 = 4,005.15/x
  3. Step 3: Cross multiply
    4,494.39x = 6,733.67 × 4,005.15
  4. Step 4: Simplify right side
    4,494.39x = 26,969,313.12
  5. Step 5: Solve for x
    x = 26,969,313.12/4,494.39
  6. Step 6: Final answer
    x = 6,000.67

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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.