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Finding the Fourth Proportional to 3,689.91, 5,089.80 and 2,196.81

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Solution

The fourth proportional to 3,689.91, 5,089.80 and 2,196.81 is: 3,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.91 : 5,089.80 = 2,196.81 : x
  2. Step 2: Convert to fraction form
    3,689.91/5,089.80 = 2,196.81/x
  3. Step 3: Cross multiply
    3,689.91x = 5,089.80 × 2,196.81
  4. Step 4: Simplify right side
    3,689.91x = 11,181,323.54
  5. Step 5: Solve for x
    x = 11,181,323.54/3,689.91
  6. Step 6: Final answer
    x = 3,030.24

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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.