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Finding the Fourth Proportional to 3,645.92, 5,478.33 and 3,184.94

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Solution

The fourth proportional to 3,645.92, 5,478.33 and 3,184.94 is: 4,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.92 : 5,478.33 = 3,184.94 : x
  2. Step 2: Convert to fraction form
    3,645.92/5,478.33 = 3,184.94/x
  3. Step 3: Cross multiply
    3,645.92x = 5,478.33 × 3,184.94
  4. Step 4: Simplify right side
    3,645.92x = 17,448,152.35
  5. Step 5: Solve for x
    x = 17,448,152.35/3,645.92
  6. Step 6: Final answer
    x = 4,785.67

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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.