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Finding the Fourth Proportional to 3,700.66, 5,106.07 and 2,208.29

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Solution

The fourth proportional to 3,700.66, 5,106.07 and 2,208.29 is: 3,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.66 : 5,106.07 = 2,208.29 : x
  2. Step 2: Convert to fraction form
    3,700.66/5,106.07 = 2,208.29/x
  3. Step 3: Cross multiply
    3,700.66x = 5,106.07 × 2,208.29
  4. Step 4: Simplify right side
    3,700.66x = 11,275,683.32
  5. Step 5: Solve for x
    x = 11,275,683.32/3,700.66
  6. Step 6: Final answer
    x = 3,046.94

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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.