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Finding the Fourth Proportional to 3,386.38, 5,078.87 and 1,305.67

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Solution

The fourth proportional to 3,386.38, 5,078.87 and 1,305.67 is: 1,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.38 : 5,078.87 = 1,305.67 : x
  2. Step 2: Convert to fraction form
    3,386.38/5,078.87 = 1,305.67/x
  3. Step 3: Cross multiply
    3,386.38x = 5,078.87 × 1,305.67
  4. Step 4: Simplify right side
    3,386.38x = 6,631,328.19
  5. Step 5: Solve for x
    x = 6,631,328.19/3,386.38
  6. Step 6: Final answer
    x = 1,958.24

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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.