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Finding the Fourth Proportional to 3,498.36, 5,231.33 and 2,709.42

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Solution

The fourth proportional to 3,498.36, 5,231.33 and 2,709.42 is: 4,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.36 : 5,231.33 = 2,709.42 : x
  2. Step 2: Convert to fraction form
    3,498.36/5,231.33 = 2,709.42/x
  3. Step 3: Cross multiply
    3,498.36x = 5,231.33 × 2,709.42
  4. Step 4: Simplify right side
    3,498.36x = 14,173,870.13
  5. Step 5: Solve for x
    x = 14,173,870.13/3,498.36
  6. Step 6: Final answer
    x = 4,051.58

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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.