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Finding the Fourth Proportional to 3,699.63, 5,106.51 and 2,208.56

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Solution

The fourth proportional to 3,699.63, 5,106.51 and 2,208.56 is: 3,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.63 : 5,106.51 = 2,208.56 : x
  2. Step 2: Convert to fraction form
    3,699.63/5,106.51 = 2,208.56/x
  3. Step 3: Cross multiply
    3,699.63x = 5,106.51 × 2,208.56
  4. Step 4: Simplify right side
    3,699.63x = 11,278,008.19
  5. Step 5: Solve for x
    x = 11,278,008.19/3,699.63
  6. Step 6: Final answer
    x = 3,048.42

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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.