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Finding the Fourth Proportional to 3,966.21, 5,473.59 and 2,265.21

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Solution

The fourth proportional to 3,966.21, 5,473.59 and 2,265.21 is: 3,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.21 : 5,473.59 = 2,265.21 : x
  2. Step 2: Convert to fraction form
    3,966.21/5,473.59 = 2,265.21/x
  3. Step 3: Cross multiply
    3,966.21x = 5,473.59 × 2,265.21
  4. Step 4: Simplify right side
    3,966.21x = 12,398,830.80
  5. Step 5: Solve for x
    x = 12,398,830.80/3,966.21
  6. Step 6: Final answer
    x = 3,126.12

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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.