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Finding the Fourth Proportional to 4,564.12, 6,844 and 1,966

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Solution

The fourth proportional to 4,564.12, 6,844 and 1,966 is: 2,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.12 : 6,844 = 1,966 : x
  2. Step 2: Convert to fraction form
    4,564.12/6,844 = 1,966/x
  3. Step 3: Cross multiply
    4,564.12x = 6,844 × 1,966
  4. Step 4: Simplify right side
    4,564.12x = 13,455,304
  5. Step 5: Solve for x
    x = 13,455,304/4,564.12
  6. Step 6: Final answer
    x = 2,948.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.