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Finding the Fourth Proportional to 3,609.90, 5,416.20 and 1,420.20

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Solution

The fourth proportional to 3,609.90, 5,416.20 and 1,420.20 is: 2,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.90 : 5,416.20 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    3,609.90/5,416.20 = 1,420.20/x
  3. Step 3: Cross multiply
    3,609.90x = 5,416.20 × 1,420.20
  4. Step 4: Simplify right side
    3,609.90x = 7,692,087.24
  5. Step 5: Solve for x
    x = 7,692,087.24/3,609.90
  6. Step 6: Final answer
    x = 2,130.83

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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.