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Finding the Fourth Proportional to 3,689.66, 5,090.34 and 2,197.64

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Solution

The fourth proportional to 3,689.66, 5,090.34 and 2,197.64 is: 3,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.66 : 5,090.34 = 2,197.64 : x
  2. Step 2: Convert to fraction form
    3,689.66/5,090.34 = 2,197.64/x
  3. Step 3: Cross multiply
    3,689.66x = 5,090.34 × 2,197.64
  4. Step 4: Simplify right side
    3,689.66x = 11,186,734.80
  5. Step 5: Solve for x
    x = 11,186,734.80/3,689.66
  6. Step 6: Final answer
    x = 3,031.91

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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.