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Finding the Fourth Proportional to 3,966.30, 5,473.12 and 2,197.44

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Solution

The fourth proportional to 3,966.30, 5,473.12 and 2,197.44 is: 3,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.30 : 5,473.12 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    3,966.30/5,473.12 = 2,197.44/x
  3. Step 3: Cross multiply
    3,966.30x = 5,473.12 × 2,197.44
  4. Step 4: Simplify right side
    3,966.30x = 12,026,852.81
  5. Step 5: Solve for x
    x = 12,026,852.81/3,966.30
  6. Step 6: Final answer
    x = 3,032.26

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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.