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Finding the Fourth Proportional to 3,778.69, 5,217.74 and 3,152.50

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Solution

The fourth proportional to 3,778.69, 5,217.74 and 3,152.50 is: 4,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.69 : 5,217.74 = 3,152.50 : x
  2. Step 2: Convert to fraction form
    3,778.69/5,217.74 = 3,152.50/x
  3. Step 3: Cross multiply
    3,778.69x = 5,217.74 × 3,152.50
  4. Step 4: Simplify right side
    3,778.69x = 16,448,901.13
  5. Step 5: Solve for x
    x = 16,448,901.13/3,778.69
  6. Step 6: Final answer
    x = 4,353.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.