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Finding the Fourth Proportional to 5,470.90, 8,206.35 and 3,721.30

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Solution

The fourth proportional to 5,470.90, 8,206.35 and 3,721.30 is: 5,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.90 : 8,206.35 = 3,721.30 : x
  2. Step 2: Convert to fraction form
    5,470.90/8,206.35 = 3,721.30/x
  3. Step 3: Cross multiply
    5,470.90x = 8,206.35 × 3,721.30
  4. Step 4: Simplify right side
    5,470.90x = 30,538,290.26
  5. Step 5: Solve for x
    x = 30,538,290.26/5,470.90
  6. Step 6: Final answer
    x = 5,581.95

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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.