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Finding the Fourth Proportional to 3,470.67, 5,208.03 and 1,391.67

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Solution

The fourth proportional to 3,470.67, 5,208.03 and 1,391.67 is: 2,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.67 : 5,208.03 = 1,391.67 : x
  2. Step 2: Convert to fraction form
    3,470.67/5,208.03 = 1,391.67/x
  3. Step 3: Cross multiply
    3,470.67x = 5,208.03 × 1,391.67
  4. Step 4: Simplify right side
    3,470.67x = 7,247,859.11
  5. Step 5: Solve for x
    x = 7,247,859.11/3,470.67
  6. Step 6: Final answer
    x = 2,088.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.