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Finding the Fourth Proportional to 3,925.75, 5,890.14 and 1,328.68

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Solution

The fourth proportional to 3,925.75, 5,890.14 and 1,328.68 is: 1,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.75 : 5,890.14 = 1,328.68 : x
  2. Step 2: Convert to fraction form
    3,925.75/5,890.14 = 1,328.68/x
  3. Step 3: Cross multiply
    3,925.75x = 5,890.14 × 1,328.68
  4. Step 4: Simplify right side
    3,925.75x = 7,826,111.22
  5. Step 5: Solve for x
    x = 7,826,111.22/3,925.75
  6. Step 6: Final answer
    x = 1,993.53

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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.