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Finding the Fourth Proportional to 3,534.62, 4,879.53 and 2,209.06

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Solution

The fourth proportional to 3,534.62, 4,879.53 and 2,209.06 is: 3,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.62 : 4,879.53 = 2,209.06 : x
  2. Step 2: Convert to fraction form
    3,534.62/4,879.53 = 2,209.06/x
  3. Step 3: Cross multiply
    3,534.62x = 4,879.53 × 2,209.06
  4. Step 4: Simplify right side
    3,534.62x = 10,779,174.54
  5. Step 5: Solve for x
    x = 10,779,174.54/3,534.62
  6. Step 6: Final answer
    x = 3,049.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.