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Finding the Fourth Proportional to 3,689.51, 5,090.87 and 2,197.19

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Solution

The fourth proportional to 3,689.51, 5,090.87 and 2,197.19 is: 3,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.51 : 5,090.87 = 2,197.19 : x
  2. Step 2: Convert to fraction form
    3,689.51/5,090.87 = 2,197.19/x
  3. Step 3: Cross multiply
    3,689.51x = 5,090.87 × 2,197.19
  4. Step 4: Simplify right side
    3,689.51x = 11,185,588.69
  5. Step 5: Solve for x
    x = 11,185,588.69/3,689.51
  6. Step 6: Final answer
    x = 3,031.73

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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.