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Finding the Fourth Proportional to 4,109.90, 6,164.85 and 3,721.10

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Solution

The fourth proportional to 4,109.90, 6,164.85 and 3,721.10 is: 5,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.90 : 6,164.85 = 3,721.10 : x
  2. Step 2: Convert to fraction form
    4,109.90/6,164.85 = 3,721.10/x
  3. Step 3: Cross multiply
    4,109.90x = 6,164.85 × 3,721.10
  4. Step 4: Simplify right side
    4,109.90x = 22,940,023.34
  5. Step 5: Solve for x
    x = 22,940,023.34/4,109.90
  6. Step 6: Final answer
    x = 5,581.65

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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.