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Finding the Fourth Proportional to 3,928.65, 5,416.48 and 3,217.87

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Solution

The fourth proportional to 3,928.65, 5,416.48 and 3,217.87 is: 4,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.65 : 5,416.48 = 3,217.87 : x
  2. Step 2: Convert to fraction form
    3,928.65/5,416.48 = 3,217.87/x
  3. Step 3: Cross multiply
    3,928.65x = 5,416.48 × 3,217.87
  4. Step 4: Simplify right side
    3,928.65x = 17,429,528.50
  5. Step 5: Solve for x
    x = 17,429,528.50/3,928.65
  6. Step 6: Final answer
    x = 4,436.52

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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.