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Finding the Fourth Proportional to 3,699.12, 5,104.44 and 2,106

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Solution

The fourth proportional to 3,699.12, 5,104.44 and 2,106 is: 2,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.12 : 5,104.44 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,699.12/5,104.44 = 2,106/x
  3. Step 3: Cross multiply
    3,699.12x = 5,104.44 × 2,106
  4. Step 4: Simplify right side
    3,699.12x = 10,749,950.64
  5. Step 5: Solve for x
    x = 10,749,950.64/3,699.12
  6. Step 6: Final answer
    x = 2,906.08

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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.