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Finding the Fourth Proportional to 3,989.70, 5,506.02 and 2,221.65

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Solution

The fourth proportional to 3,989.70, 5,506.02 and 2,221.65 is: 3,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.70 : 5,506.02 = 2,221.65 : x
  2. Step 2: Convert to fraction form
    3,989.70/5,506.02 = 2,221.65/x
  3. Step 3: Cross multiply
    3,989.70x = 5,506.02 × 2,221.65
  4. Step 4: Simplify right side
    3,989.70x = 12,232,449.33
  5. Step 5: Solve for x
    x = 12,232,449.33/3,989.70
  6. Step 6: Final answer
    x = 3,066.01

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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.