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Finding the Fourth Proportional to 3,600.48, 5,397.12 and 1,406.20

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Solution

The fourth proportional to 3,600.48, 5,397.12 and 1,406.20 is: 2,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.48 : 5,397.12 = 1,406.20 : x
  2. Step 2: Convert to fraction form
    3,600.48/5,397.12 = 1,406.20/x
  3. Step 3: Cross multiply
    3,600.48x = 5,397.12 × 1,406.20
  4. Step 4: Simplify right side
    3,600.48x = 7,589,430.14
  5. Step 5: Solve for x
    x = 7,589,430.14/3,600.48
  6. Step 6: Final answer
    x = 2,107.89

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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.