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Finding the Fourth Proportional to 3,470.54, 5,201.33 and 1,276.67

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Solution

The fourth proportional to 3,470.54, 5,201.33 and 1,276.67 is: 1,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.54 : 5,201.33 = 1,276.67 : x
  2. Step 2: Convert to fraction form
    3,470.54/5,201.33 = 1,276.67/x
  3. Step 3: Cross multiply
    3,470.54x = 5,201.33 × 1,276.67
  4. Step 4: Simplify right side
    3,470.54x = 6,640,359.16
  5. Step 5: Solve for x
    x = 6,640,359.16/3,470.54
  6. Step 6: Final answer
    x = 1,913.35

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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.